Could space
exist without time? Are not the two inextricably linked? In which case the question is irrelevant. As long as there is space there is time, it doesn't matter if everything is frozen on a molecular level, just means there is nobody to witness or experience the phenomenon.
Change is not time is it? I'm not making a statement, I don't think I have it straight in my head to be honest. If anyone does please share!
The OP sounds a bit like a rephrasing of the old "if a tree falls in a forest when nobody is around, does it make a noise?" question. The answer to that is easy; yes! Just stick a microphone in a forest and sooner or later you will probably hear a tree falling without being there!