I think the real trick would be getting the screw started. Once it got a
bite I
imagine running it down wouldn't be that hard. Maybe a big rental air
impact
ratchet, gasoline compressor and an "extension" of galvanized pipe? A lot
will
depend on what the bottom is made of.

Of course, you just might end up twirling yourself around instead of
screwing in the mooring.

If you worked off the bow of the boat and anchored the stern you could control
the angular motion. If you have a real big boat with a thruster you might be
able to pinwheel the anchor down