The scientific hypothesis I tend to favor is that it's pointless to think of something outside the universe. The universe is all there is. It is the space between the galaxies of the universe that is stretching, the universe as a whole is not expanding into any preexisting space.As possible as anything else, I'm sure, but I can't personally mentally imagine a boundary with nothing outside of it or a moment with nothing before and after it.
Time is relativistic. Our souped up chimpanzee brains perceive an arrow of time. But to a photon, time doesn't exist because it is travelling at the speed of light. So in principle, I don't have a problem imagining that my perception of time is not necessarily objectively true for all conditions.