“Off we go, into the wild blue yonder, flying high, into the sun…”
– Air Force Song
Although the word “airmen” implies flight, not all Air Force personnel fly. If by fly you mean control a plane, that would be a pilot, or co-pilot (usually the newbie pilot in training). If you mean riding on a plane while doing their job, that’s aircrew. For example, those would be your navigators or combat system operators on the officer side, and loadmasters (the guys who pack everything on the plane and, on most cargo aircraft, air-drop everything at the command of the pilot.
More often than not, mission essential personnel are included with the aircrew as well. They can be aircraft maintenance personnel such as crew chiefs, and even specially trained security forces that provide extra protection while the aircraft is on the ground and in contested or hostile territory. Then you have your mission support personnel like your financial managers, medical technicians, firefighters, etc.
All airmen play a part in U.S. air power, whether they are up in the air or on the ground. But yeah, not all of us fly.