It seems that both are possible in different cases:
wish + past simple is used to express that we want a situation in the present (or future) to be different.
I wish I spoke Italian. (I don’t speak Italian)
wish + would + bare infinitive is used to express impatience, annoyance or dissatisfaction with a present action.
Example, I wish you would stop smoking. (You are smoking at the moment and it is annoying me.)