No, wolves don't make good pets. Dogs instinctively look to humans for direction and aid, while wolves essentially ignore what we are doing. Wolves require a lot of social interaction, but if you fail to maintain dominance, or are challenged for it, they can do a lot of damage to you.
Similarly, you may ask, can you legally have a wolf as a pet?
It is illegal to own a pure wolf in the United States… they are classified as an endangered and regulated species! While it is legal to own a 98% wolf-dog federally, many states, counties and cities are outlawing all wolves and wolf-dogs. Any wolf or wolf-dog found within these areas is immediately killed.
Can I have a wolf as a pet?
Wild wolves are sometimes kept as exotic pets, and in some rarer occasions, as working animals. Although closely related to domesticated dogs, wolves do not show the same tractability as dogs in living alongside humans, and generally, much more work is required in order to obtain the same amount of reliability.
Can you domesticate a wolf?
As such, no individual animal can be 'domesticated'--they can only be tamed, and their inherent temperament remains that of a wild animal. Dogs are a domesticated subspecies--wolves are not. In fact, the wolf can be domesticated--it's already been done, and it is called a domestic dog.