A level 2 specialist was a position available in Starfleet's communications department.
In 2369, USS Enterprise-D had an opening for a level two specialist. Geordi La Forge offered the position to Aquiel Uhnari, but she declined, saying she imagined the waiting list was long. When La Forge offered to recommend her, she said she'd rather get there on her own merits than someone else's intervention. (TNG: "Aquiel")