It could but so far the evidence says that it is finite and that evidence is growing.
What evidence do you have that the universe is finite?
Scientists tell us that our universe has no edge. There is no place where an observer could stand and see nothing but nothing in one direction, and nothing but universe in the other direction. Do you agree?
That basically leaves us with two options. 1) Either our universe is infinite, or 2) Our universe bends back on itself in a giant arc in all directions. If you had a telescope that could see far enough, and there were no obstructions, in whatever direction you looked through that telescope you would see the back of your head. It would be sorta like traveling around the equator, and ending up back where you started at.
As I understand it, the evidence for #2 is weak. First, there is not enough mass in the known universe to make light bend back on itself in a big arc. And second, all attempts to see the same galaxy when looking in opposite directions have failed.
It is possible that #2 is still true. There could be mass out there that we don't know about. It is possible that the arc of the universe is so big that our observations are not able to see the whole way around.
Or it is possible our universe it is infinite. We don't know.
If the arc of the universe is so big that there are galaxies out there that we cannot possibly see, then we have no idea how big that arc is, and how many galaxies might be in that unobservable reason. Even if the universe bends back on itself, the total universe out there may completely dwarf the minute portion we see.
So any attempt to argue anything based on the limited universe we see is incomplete. The universe that began with the Big Bang could be much bigger than what we can see.
All that deals only with the universe that began with the Big Bang. We have no way of telling if there were other Big Bangs, or other aspects of nature in a completely different spacetime from our nature.
We don't know.