Umm, no. They will experience nitrogen narcosis which is a feeling of euphoria before you expire from oxygen deprivation. The bends occurs when nitrogen saturates your joints and blood from extreme pressure and the pressure is removed too quickly and cannot be resorbed slowly. It comes out of suspension as bubbles and create extreme pain and emboli. There is no extreme pressure associated with the gas chamber.
They won’t even experience nitrogen narcosis if the nitrogen is at normal atmospheric pressure. Nitrogen narcosis only happens at higher pressures than that (otherwise we’d all be buzzed all the time). Wikipedia has a pretty good entry about nitrogen narcosis.