Do termites harm cats i dont know if my cat ate any would that harm them?

As a defensive mechanism termites produce naphthalene the same chemical that moth balls are made of. If your home is infested with termites the people and animals living there are in danger of Naphthalene poisoning which can prove fatal. If your cat ate a few termites there is no significant danger, anteaters, pagoline, and aardvarks make a living feeding off of termites.