Can I be arrested for stealing a dog?

Answer 1

Yes. Stealing a dog is just like stealing anything else. Plus, it will cause stress to the dog to be taken from its environment.

Many people see their pets as family members, and cannot be easily "replaced" like an object like a stereo or clothes.

Answer 2

At common law, the asportation (taking and carrying away) of the personal property (which a dog could be) of another, or of one who had a superior possessory interest (e.g., a bailee) with the intention permanently to deprive, is a felony. The short answer, again at common law, is yes.