Can Cats Get Lice?

TL;DR

Cats cannot get human head lice. Human lice are species-specific. Cat lice (if any) are a different species. Your cat is not a reservoir for head lice.

Human and animal blood

Human head lice need human blood. They can't survive on cats. Cat lice (Felicola subrostratus) are a different species that only infest cats.

Cat-specific parasites

Cats get fleas, mites, or cat lice — not human head lice. Don't worry about passing head lice to or from your cat. Focus on treating human infestations. Check first. See dogs and lice.