It's either possible or impossible. The issues are a few. Chances are you've listening to...
Answers in Genesis should be avoided.
I would avoid any teaching that says Noah put Dino on the Ark. First off, it's impossible for the flood to be global. A literal 6-day creationist has no option but to put Dino on the ark instead of into a pre-Adamite world because that would heavily play into the hands of the evolutionist.
In order to house the number of animals 'worldwide' - two of every kind and seven pairs of clean animals as well as flying creatures - Noah would have needed 12-15 arks. Put Dino on there, and the estimate is 19-21 arks.
It's absurd to me that anyone would believe that God created the Universe in 6 literal days - 6,000 years ago! AND...they also believe that at the end of the Millennium God destroys the entire universe! Sounds counter-productive to me.
Going on a 7,000-year lifespan of humans on earth, we are approaching the 6,000-year mark. Depending on which calendar we go by, Jewish, Mesopotamian, Gregorian, or the many others that go by solar, lunar, lunisolar, etc., I think there's a 4, or even a 9-to-10-year discrepancy in time in these calendars. So, it's only an educated guess, and I'm not picking a day or hour....
Some of us think the earliest Jesus could return is 2042. Minus a 4 year discrepancy on the Jewish calendar, that gives us a time frame of 2038 - 2042. However, going by other calendars, it could be as early as 2033 to 2037. My honest opinion is...I don't know!