Yes, it’s being considered, but with some restrictions, reports The Virginian Pilot:

The season would likely run from Sept. 1 to Oct. 1. Hunters would need a permit allowing one alligator per season, said Ryan Kennemur, spokesman for the [North Carolina Wildlife Resources Commission]. Alligators could be killed with such weapons as harpoons, bows and arrows, or clubs known as wooden pegs. They could not be hunted with guns, he said.

Clubs? As in going into the swamp and trying to beat a large reptile with sharp teeth to death with a wooden club? Really?