The word "destroyed" doesn't bear a lot of mean in a generic scientific context, in other words; you left the word "destroyed" to be open for interpretation.
For example:
When you crush a brand new car, most people would interpret that as destroying the car. However, at a more fundamental level, the matter is all still intact; it just changed shape.
You can use a collider to smash matter into tiny particles so it isn't even matter anymore. However, however; this example is much like the car example in the sense that the energy that constituted the matter still exists; it's state just changed.
From a particular perspective, nothing can be destroyed in our universe, as matter can only change its state. We live in a universe of impermanence, a universe where entropy is the second law of thermodynamics.
Read about Maxwell's Demon, for a good example of how omnipresent entropy is. The universe could not be what it is without it. Everything is in an impermanent state, everything will change, everything has to change.
What does entropy have to do with your question?
Well, it has everything to do with your question.
It certainly answers it, though the answer may not be as defined as you might like.
The bottom line is that everything in our universe must change: if crushing a car means it was destroyed to you, then everything in our universe can be destroyed, and will eventually be destroyed. On the flip-side, if you feel that the car wasn't destroyed, and that the car simply changed shape, then to you, nothing in our universe is destroyed, but everything can change, and eventually will change.
