You don't need the motor, just the inverter drive.
There is actually a trick you can do with a motor alone, connect the mains between two of the terminals, and a 22uF or so 'motor run cap between one of the supply terminals and the third terminal, apply power, the motor will spin up but produce very little torque.
What it does do is make reasonably good three phase delta, effectively operating as a rotary transformer.
Yea, acoustically noisy, and not pretty but plenty of home machine shops run off such things, key phrase is 'Rotary phase converter', personally I prefer electronically commutated motor drives, quieter, more efficient and much, much lighter, but whatever works.
FWIW my lathe in the garage runs off a 1500VA 240V-400V 'control transformer' wired backwards to make 400V single phase, which I stuff into a small IMO controls VFD to make three phase, with a suitable line reactor and some filter caps you don't even get much switching residual on the waveform, and the drive has some limited ability to operate in regen with a dump resistor.