If they are the standard Dawn of the Dead type zombies, I would say no. The actual person is dead. The shambling creature is something else. Mentally on the level of an animal, but controlling the human body after the soul is gone elsewhere. Also it is an issue of self defense, it would not be safe to live alongside these creatures. They are homicidal cannibals and anyone they attach they could infect. So you can kill them purely out of self-defense. There is no cure.