Cats can be just as anxious or destructive as a dog.
My friend's cat used to be so wild that he would go for the jugular every time you lock eyes with him.
He would run laps around the house and pee everywhere out of boredom. He isn't feral or intact.
The cat was taken to a Petsmart puppy clicker training class and has to be walked on a leash daily. And he's been a lot better behaved since and not so neurotic.