Most scientists think the Big Bang came from a Big Crunch from a previous Universe that collapsed upon itself with such gravity that it’s size approached nothingness. And that eventually our Universe will stop expanding, reverse and do the same.
Actually, they used to think this was one of the two main options - and because physicists like symmetry, used to favor it slightly in some ways - but no longer. There is currently no evidence that a big crunch will or could occur (though there is not enough evidence to say that it
cannot either, only that nothing suggests that it will or can).
The universe is expanding at an accelerating rate due to dark energy. While it is possible (because frankly, we know next to nothing about dark energy) that this will stop and reverse eventually, there is no evidence that it will at this time. Heat death seems more likely from what we’ve observed.
Even if heat death is our destiny, as seems likely, this does not necessarily mean that there have been no other universes before us that started with a different big bang and had a big crunch. Knowing for sure whether this was possible would require us to know a lot more about dark energy than we do though.
The likelihood of a heat death end also makes it seem unlikely that there has been an infinite number of universes before us. Not impossible, again, we don’t know much about dark energy, but it would be hard to say that the universe took an infinite number of configurations and then suddenly took one more that kills it. There would be the question “why didn’t it take the death configuration earlier?” (and also what that would mean - how could you tell a difference between taking an infinite number of incarnations and dying, and taking a different infinite number of incarnations and dying? - but that sort of thing may be able to be resolved.)
In short, big crunch, as pleasingly symmetrical as it is, no longer seems likely.
I’ve always wondered if the infinite-bang-crunch-cycles view of the universe was just an unwillingness to get rid of the old steady state theories. Killing those off really messed with a lot of scientists’ philosophies, which is part of why the big bang received so much opposition at first. This sort of cycle thing would go a reasonably way to re-stabilizing those philosophies - but it just doesn’t seem to be working.