That's basically what rats do. I've got pet rats and they're cute and intelligent, but they're rodents optimized for breeding. That can breed so fast it isn't even funny and they destroy everything with their teeth to either eat it or build nests from the bits and pieces or just to test it out with their teeth.
Rats are crazy awesome. They're not mice or hamsters or gerbils. They are so much more intelligent and can have a personality. And I'm convinced that hamster personality is a scale of how likely it is to bite you
That being said, wild rats are very destructive because of their hardiness and intelligence. Raccoons may be the top animal for intelligence in urban environments, but they can't match rats for their destructive potential.