Occasionally dogs do have only one leg, but this is rare and does not happen very often.
Youtube is your best bet.
job
A chiquaqua
A beagle is a short legged hunting dog. These are smart, loyal little dogs who can be taught to tree and hunt.
Not naturally. Dogs can be born without legs or lose them through an accident. There is a video on You Tube of a dog that only has it's hind legs and it walks upright.
Four legged animal
In your imagination.
Not as a breed of dog, they don't. I remember seeing a three legged dog some years ago. It had had a leg amputated, and had no trouble moving about on three legs. So, three legged dogs exist only in the capacity of an amputee.
No
kill it
Faith the two legged dog lives in the United States. That is all that is known about the inspirational dog who, above all odds, learned to live life her way.
If you happen to find one, and are willing to give it the special care it will require, then probably, yes.