Spacetime itself was infinitely small, so not necessarily. We don't know anything at all about the physics of infinitely small spacetimes, because we don't hav

Spacetime itself was infinitely small, so not necessarily. We don't know anything at all about the physics of infinitely small spacetimes, because we don't have a fundamental physics of spacetime at all. GR is a descriptive approximation of the behaviour of spacetime, but says nothing about the fundamentals that generate that behaviour.