Dogs can be declawed, but it is generally considered to be an inhumane and unnecessary practice, and there are few vets who will perform such a surgery. Dogs need their claws just like people need their fingernails and toenails, to scratch their bodies and to give them grip and balance when walking.
Dog declawing, which is known as an onychectomy in the veterinary world, involves removing not just the claw, but amputating the end joint from which it grows. Since dogs walk on their toes, removing the joints there makes walking and running difficult and puts dogs at an increased risk for arthritis. Since there is no medical reason for the procedure, finding a vet willing to declaw a dog is probably unlikely.