This is one of the reasons why this op was posted.
Sure.
Calvin's "
Institutes..." has an entire chapter on baptism. See
HERE (Book 4, Chap. 15). Among the things stated in "The "Institutes is...
"The first object, therefore, for which it is appointed by the Lord, is to be a sign and evidence of our purification, or (better to explain my meaning) it is a kind of sealed instrument by which he assures us that all our sins are so deleted, covered, and effaced, that they will never come into his sight, never be mentioned, never imputed. For it is his will that all who have believed, be baptised for the remission of sins. Hence those who have thought that baptism is nothing else than the badge and mark by which we profess our religion before men, in the same way as soldiers attest their profession by bearing the insignia of their commander, having not attended to what was the principal thing in baptism; and this is, that we are to receive it in connection with the promise, “He that believeth and is baptised shall be saved” (Mark 16:16).
Baptism remits sins. It cancels their debt. Baptism is not merely an affiliation (a "badge or a mark") or a profession of religion; it is received with the promise of salvation. The "seal" of baptism is not a seal in the sense of an insignia like a soldier might have on his uniform. It is a guarantee.
"...by the gospel the message of our ablution and sanctification is announced; by baptism this message is sealed."
However, it is not the water itself that has any power. That is not what Calvin thought.
"For he (Peter) did not mean to intimate that our ablution and salvation are perfected by water, or that water possesses in itself the virtue of purifying, regenerating, and renewing; nor does he mean that it is the cause of salvation, but only that the knowledge and certainty of such gifts are perceived in this sacrament."
Of "mortification" and "ablution," Calvin said,
"Although the mystery was then obscure, and known to few, yet as there is no other method of obtaining salvation than in those two graces, God was pleased that the ancient fathers, whom he had adopted as heirs, should be furnished with both badges."
Baptism is a sacrament, and a grace, and it is one of the two ways of obtaining salvation. It's important to remember the overarching context in which Calvin was writing. He was a Catholic writing "The Institutes..." in hopes of reforming the Roman Catholic thinking, doctrines, and practices. He was NOT suggesting a non-Christian could sprinkle a Hindi with water and then speak of the Hindi's salvation in Christ. That's not what Calvin taught, and that is not what I am suggesting Calvin taught.
The next chapter is specifically on infant baptism.
"It remains briefly to indicate what benefit redounds from the observance, both to believers who bring their children to the church to be baptised, and to the infants themselves, to whom the sacred water is applied, that no one may despise the ordinance as useless or superfluous: though any one who would think of ridiculing baptism under this pretence, would also ridicule the divine ordinance of circumcision: for what can they adduce to impugn the one, that may not be retorted against the other? Thus the Lord punishes the arrogance of those who forthwith condemn whatever their carnal sense cannot comprehend. But God furnishes us with other weapons to repress their stupidity. His holy institution, from which we feel that our faith derives admirable consolation, deserves not to be called superfluous. For the divine symbol communicated to the child, as with the impress of a seal, confirms the promise given to the godly parent, and declares that the Lord will be a God not to him only, but to his seed; not merely visiting him with his grace and goodness, but his posterity also to the thousandth generation. When the infinite goodness of God is thus displayed, it, in the first place, furnishes most ample materials for proclaiming his glory, and fills pious 2535breasts with no ordinary joy, urging them more strongly to love their affectionate Parent, when they see that, on their account, he extends his care to their posterity. I am not moved by the objection, that the promise ought to be sufficient to confirm the salvation of our children. It has seemed otherwise to God, who, seeing our weakness, has herein been pleased to condescend to it. Let those, then, who embrace the promise of mercy to their children, consider it as their duty to offer them to the Church, to be sealed with the symbol of mercy, and animate themselves to surer confidence, on seeing with the bodily eye the covenant of the Lord engraven on the bodies of their children."
Od the Anabaptists and those who reject infant baptism he said,
"Moreover, baptism being, as they hold, necessary to salvation, they, in denying it to infants, consign them all to eternal death."



Most theologians think he was alluding to infants who died in infancy, which was very common in Calvin's day.
In Book 1, in which the Trinity is discussed, Calvin wrote,
"But as God has manifested himself more clearly by the advent of Christ, so he has made himself more familiarly known in three persons. Of many proofs let this one suffice. Paul connects together these three, God, Faith, and Baptism, and reasons from the one to the other—viz. because there is one faith he infers that there is one God; and because there is one baptism he infers that there is one faith. Therefore, if by baptism we are initiated into the faith and worship of one God, we must of necessity believe that he into whose name we are baptised is the true God. And there cannot be a doubt that our Saviour wished to testify, by a solemn rehearsal, that the perfect light of faith is now exhibited........"
Today, we (the theologically Reformation-minded) assert the baptism of the infant as a profession of faith by the parents on behalf of their child, the child the offer to God with a (com)mission to faithfully empowered by Christ and the Spirit to raise the child in the Church without the baptism guaranteeing the child's current or later salvation. The "seal" of baptism is considered comparable to circumcision by many Reform-minded believers, an inclusion into the covenant without actually providing salvation. Some among our ilk
will re-baptize a person who makes a conscious, conscientious, deliberate profession of faith in Christ, but most consider the infant baptism "retroactive." (I had a pastor in the Episcopal Church actually use that word with me when I inquired about getting baptized as an adult after coming to Christ).