I think so we have a labrador x staffy that loves to chase anything on a walk, birds like pheasants are his favourate game. Our chickens he seems to have no interest in, although the chickens are also used to him and don't run away from him. My partner also has a bull x lurcher that he uses for hunting, he is completely trained with all lifestock, put him in front of a rabbit and thats a different story. It really depends on the dog tho. Goodluck