Does rubbing dead skin cause scars?

Does rubbing off the dead skin on my face cause scars? If I don't my nose gets flakey and around my chin I get little skin dots that rub off too. Or could just be picked off with a tweezer. My nose seems fine but it looks like my chin area is getting mini trenches it almost looks like wrinkles in a way. I'm only 18 so I think it might be from rubbing. Is it? Or does rubbing cause nothing?