Sure, why not? It can't be much longer before everyone and his grandma has a zombie tattoo of some sort. Hell, my grandma just got a zombie bowl of All-Bran. Which is weird, because she usually eats zombie Cream of Wheat.
If you ask for a tattoo of a menacing dog, be sure you specify the WAY in which the dog should be menacing. A dog dying of a highly communicable disease may be scary, but probably not what you want out of a tattoo.