Pretty much ANYTHING could destroy a whole galaxy, given enough time. The better question is, could a black whole destroy a whole galaxy before every star in that entire galaxy completely burned out and the universe as we know it fizzled out like a firecracker?
No, it couldn't. Even if you found a black hole that was big enough to plausibly cause that kind of destruction (remember, galaxies are So Big, So Absolutely Huge...) the more likely result would be that most of the galaxy would end up in orbit of the black hole; wouldn't destroy it, just change shape.
No, it couldn't. Even if you found a black hole that was big enough to plausibly cause that kind of destruction (remember, galaxies are So Big, So Absolutely Huge...) the more likely result would be that most of the galaxy would end up in orbit of the black hole; wouldn't destroy it, just change shape.