Could transport aircraft keep resupplying a nuclear carrier while it steamed at high speed between theatres?
Short answerIn theory, yes, provided enough transport aircraft could fly from suitably placed airfields, catch the moving carrier, unload, and repeat the cycle.
NotesThe idea is physically possible without being automatically practical. The aircraft would have to launch from bases close enough to reach the carrier as its position changed. A sufficient fleet would then need to maintain repeated outward and return flights while the ship continued moving. Nuclear propulsion removes one endurance constraint but does not eliminate the wider basing, aircraft, cargo, and scheduling requirements of naval logistics.