Can I remove tongue piercing scars?

I got a double tongue piercing a year ago and it did not heal correctly so I had to take them out a month later. My tongue still hurts, and there are two white scarred over holes on the top of my tongue. That's pretty normal, but if I press them just slightly I feel the thick scar tissue inside which hurts a lot. I don't know why that is. Is it possible to remove them by a punch excision? I'd like to get it removed for medical and cosmetic purposes.