Is It Possible to Change Arch Hammers' Face?

The episode has been kind of unreal up until now, with that very stylized look to it. As Rod Sailing delivers his opening narration, there's this great scene where Arch Hammers is shaving and... And every time the camera pans back and forth, you'll see that he's changing his face as he shaves. The idea in itself is pure fantasy, but at this point in the show's run, I think it had earned enough suspension of disbelief from the audience.