All my cats were raised from kittens. I don't know the severity of your situation? But my kittens have always gone through a biting stage when they were young. I'm not sure if it's similar to infants as a way to explore their world? Or in my case, my fingers and hands? As I don't profess to be a cat psychologist. :B However, they all grew out of it. Though progressed to a teething stage, where they like biting any type of wood. Mostly, the furniture. But, eventually grew out of that stage also.
I'm also not an advocate of any type of physical discipline, or teasing for that matter. IMO, creates behavior issues. Just use stern vocal commands, and an occasional finger pointing. Can take some time, you basically have to interrupt their bad behavior until it sets in. In the end, the cats eventually get it.
Ended up with some very affectionate and gentle cats when they grew into adults. In fact, had one stray kitten I adopted grow up to never bite down when playing, or when she didn't like something. Nor would ever extend her claws. Just pat your hands with her paws.