Do gums grow back? (photo)

So, yesterday My orthodontist had to burn/scrape away some parts of my gums that where covering my "impacted" (as in, they weren't growing correctly) fangs so they can be ready to be pulled down in a month. So, the result of that are holes where you can see the fang that is growing. It looks quite grotesque (lol) and I was wondering if that is going to cover itself. (I don't want to be a man with holes inside my gums XD)