Can you convert two wire 220 (no neutral) to normal 110?
Yes. Use a 220 V to 110 V transformer at the end of the run.

You would need to comply with local electrical regulations1 to have this installed properly and, in particular, how to "neutralise" one of the 110 V wires and ensure proper earthing of the socket. You may need a better electrician.



1 The location field in your user profile, if filled in, would give a clue as to what regulations would be applicable.