No.
He may want to know when he is older. Please spare him the heartache of trying to find a dad he doesn't know the name of. If there is no contact now, then fine, but you never know what may happen in the future. He may not be in his life now, but removing a name won't change anything in that respect even if it were possible..a birth certificate cannot be changed.
You say YOU don't want your son to know his dad. My mother said the same thing to me and I have never forgiven her for it. Do you want that?