I think the answer is maybe, my instructor had certification from the state to teach our class. But I see that an NRA instructors have authority. Best call the range and ask.
From the Durham County Sheriff FAQ site:
Does the Durham County Sheriff’s Office have a list of approved firearms safety courses?
The Sheriff’s Office does not sponsor or endorse any particular firearms safety course. However, approved courses must be certified or sponsored by the North Carolina Criminal Justice Education and Training Standards Commission or the National Rifle Association. Most local gun dealers and pawn shops have a list of instructors.