Sure, but first can you tell me what is meant by "GR breaks down at the singularity"...? In your own words, please.
Also, can you show me a time when there was no universe...?
Yes - as I understand it, singularities are events where, according to classical physics, the energy density and hence spacetime curvature become infinite. GR doesn't work in these circumstances. The expectation is that quantum gravity will help us resolve this.
Can I show you a time when there was no universe? No, but I see the following logical possibilities.
- The universe may have begun without time, which emerged 'subsequently'.
- Time may have come into existence before the big bang, in some kind of precursor to our universe.
These are a bit mischievous - but my point really is that we don't understand how time arises and therefore it's not a foregone conclusion that it began with the universe.