According to our current understanding of physics, space-time itself is not something that can be "destroyed" in the traditional sense. Space-time is the fabric or framework in which all physical phenomena occur, and it is a fundamental part of our universe.
In the theory of general relativity, space-time is described as a dynamic entity that can be influenced and warped by the presence of mass and energy. Massive objects create gravitational fields that curve space-time, causing objects to move along curved paths. However, this curvature is a result of the presence of mass and energy, rather than the destruction or annihilation of space-time itself.
That being said, there are extreme scenarios, such as the vicinity of a black hole or the early moments of the Big Bang, where the curvature of space-time becomes extremely strong and our current understanding of physics breaks down. These situations are characterized by regions of extreme density and curvature, but they do not involve the destruction of space-time itself.
It's worth noting that our understanding of the fundamental nature of space-time is still incomplete. The unification of general relativity with quantum mechanics, which governs the behavior of subatomic particles, is an ongoing challenge in theoretical physics. It is possible that future advances in our understanding may reveal new insights about the nature of space-time, but as of now, it is considered a fundamental and enduring aspect of our universe.