Yes, most Corgis are born with a tail. Some Corgis are born with full tails while others may be born with naturally short
bobtails depending on the type of Corgi.
Cardigan Welsh Corgis typically have long, bushy tails that they carry low.
Pembroke Corgis , on the other hand, have their tails docked (the practice of surgically removing a portion of the tail) if born with one that is considered “too long” according to breed standards. The AKC Breed standards call for the Pembroke’s tail to be docked as short as possible, and if left natural, the bobtail is to be less than two inches long.