I know the Army tried, the Army ran an Air Force throughout WW 2 while being on the move. It can do it again with the A 10s.
Perhaps but the challenges of running ops for a P-47, let’s say, are a far different thing than what is necessary for the A-10.
The A-10 is designed to fly off/on some unimproved surfaces, but when it does so, its tires need replacement quite often (heavier jet by far from any fighter in WWII so, best case, a couple of sorties and need new tires). And the engines are jets, and jets suffer FOD damage when working off of unimproved locations.