Of course I don't. In fact I don't think it happened at all because the "numerous animals" evolved over millions of years - we know this, the writers of the Genesis accounts did not. That is precisely the point. And in any case, it is fairly obvious that Genesis 1:1 - Genesis 2:3 is one account and the rest of Genesis 2 is a different account from a different perspective. They are EITHER
(1) intended as mythological cosmological story-telling (in which case they are great as stories and tell us absolutely nothing about the facts of the genesis of the heavens and the earth or anything in them, nothing about the facts of the origin of the human species and not even anything about the facts of the origins and history of the nation of Israel - which is what it was probably really meant as the prologue to)
OR
(2) intended as historical narrative in which case they are plain wrong.
In either case there is no reason to assume that Adam existed as a real person and even if someone approximately corresponding to the biblical Adam did really exist, he most certainly did not run around the Garden of Eden for millions of years with the dinosaurs.
I know that's not what you are saying, but that was the argument in the OP that I was refuting by suggesting that the accounts are either mythology or wrong. You can't have your cake and ha'penny by saying the "days" are figurative but the rest is real history. In any case, there are far greater issues with the science that cannot be overcome by simply extending the "days" of Genesis.
I can agree that there were animals created long before Adam came to life, such as Genesis 1:21 is before Adam.
Adam was giving names, or making names up, for the animals according to Genesis 2:19.
To me, that would take quite some time for Adam to observe animal antics before coining names for them.
I also agree about Genesis giving two (2) differing accounts:
Here is my take on the matter:
The two (2) accounts of creation are from two (2) differing viewpoints:
The 1st describes Heaven and Earth ( our cosmos ) and all in them starting from Genesis 1:1 to Genesis 2:4
The 2nd account concentrates on the creation of the human race and its fall from Genesis 2:5 to Genesis 4:26
The 1st account is constructed chronologically. ( Divided into six (6) consecutive "days")
The 2nd account is written in the order of topical importance.
Genesis chapter 2 adds some details ( which do Not conflict ) put merely takes up at a point in the 3rd "day".
ALL is created before "day" 7, and "day" 7 is still on-going from God resting from further creation.
However, soon we will be in Jesus' millennium-long day of governing over Earth for a thousand years.
Then, earth's nations will see the return of the Genesis ' tree of life ' for healing according to Revelation 22:2