Right, yes I'm out of my element there. Could space stop completely is maybe what I meant. Like is absolute nothingness possible, where no life could ever start again.
The predominant view today is that the universe will reach a state called heat death, at which point space will be at its maximum. This will result in a situation in which the molecules of existence are spread apart so far that gravity cannot hold them together. The resulting state of the universe will be dark and empty, with no matter left, filled with the radiation of evaporated black holes.
This state will prevail for most of the existence of the universe - quintillions of years (the universe is only fourteen billion years old today, by comparison - this is a situation that will last tens of thousands of times longer than our current early universe). However, it has been theorized that quantum fluctuations in this almost completely empty cosmos might randomly produce the conditions necessary for a new Big Bang to occur: this empty space would essentially function as the space the next Big Bang expands into. The theoretical physicist Roger Penrose, for example, believes that he has detected background radiation from black holes older than the observable universe. There's no reason to assume that any past or future universes would be identical to our own, but if it is black hole radiation Penrose detected, that means there were stars in the past universe to produce the black holes, which suggests that they operated on comparable physical lines to our own.