According to Einstein, at the end of a big bangs life cycle, there is believed to be a big crunch, the universe goes back to the point of which it originally came into existence, most believe that after a big bang-big crunch, another universe is created, if the point of the big bang is anything like a black hole which it more than likely is, due to the enormous amount of matter it has produced over nearly 14 billion years, then it's possible that our universe would go through the event horizon and matter would form in a different universe, this universe could occupy the same space or move entirely, creating a new big bang, Einstein believed that after the big crunch the second universe would be the same as ours but it would go backwards in time, this is debatable, due to it being "all relative" if we were in the backwards moving universe then it would still be how it is now, with no changes, we would experience it in exact the same way- from birth to death, your question relates to everything theoretical physics is working towards and it will either take a long time to figure out or we may never be able to
Something that had crossed through my brain before is that dark matter may be unbounded by time, or time may not affect it, so if dark matter is everywhere then time would not exist and would have started at the big bang or at any point when matter comes into existence, gravity has an effect on time but things like dark matter aren't affected by gravity, so time would also behave differently to dark matter, if you had a ball of dark matter, it wouldn't really be a ball of anything, so if before the big bang there was just dark matter everywhere then could you really say that there was something before the big bang?
As a lot of people said before me about whether the universe is finite of infinite, I believe everything can be measured and the belief in an infinite universe should have went out the window when the big bang theory came into place, the infinite universe is more suited to the steady state theory than the big bang theory