Dire Bare
Legend
Modern, self-propelled wheelchairs aren't documented until 1655. So the historical ancient Greece "wheelchair" would require someone or something to push or pull it around. Which could be a fun character build. Your PC is wheelchair bound, and has a sidekick character who pushes/pulls the chair on adventures. Or dogs to pull it, or something.Might have wires crossed. Some sort of wheeled conveyance vs a more modern chair design. It's not going to be able to function as a device some people want (basically a battle chair?).
But again, while ahistorical . . . it's easy peasy to accommodate a request for a more modern, self-propelled chair, regardless of the campaign setting, theme, or tone. Especially in a D&D game with magic and monsters. Heck, most of us Gen-Xers ideas of ancient Greece mythology is tied up with the "Clash of the Titans" movie, which had the clockwork owl Bubo, invented by Hephaestus. I bet Hephaestus could whip up a self-propelled wheeled chair for a hero favored by one of the gods, no problemo!