Is it normal that i bite off my skin?

So, basically when I was younger I got into the habit of biting my nails. Loads of people do that. It is a common habit really. But then I started biting the skin around my nails and ripping it off. It doesn't bleed or anything, I only take off just about one layer really or take away any dead or loose skin on my fingers. I don't do it anywhere else on my body because it is probably a habit that developed from nail-biting. I just want to know if other people do this, or if it is normal to other people?