No. There is a cartoon called "Cat-Dog". But, there is no cat-cat or cat-dog in reality.
Unless you got the cat and pedigree papers from a breeder, it is almost impossible to tell what breed it is. Many breeds and mixed breeds of cats can be black. A breed of a cat cannot be depicted by...
If you mean Cat in the Hat, the author is Dr. Seuss.
Well, my cat has been chased in by our other cat. so it is possible for that to happen to yours.
racoon