Are you a resident of SC?
If not, then no. You cannot purchase a handgun across state lines.
You would have to have it delivered to a FFL (Federal Firearm Licensed) dealer in your home state. They might have a dealer arrangement where you can pay for it in SC, then have it shipped to a NC dealer who would run the background check and transfer it to you for a fee. As far as I can tell, SC has no licensing laws just to purchase a handgun, though. (Some states require a permit just to buy one, most don't.)