Would it be possible to have a socialist direct democracy? Why or why not?

No, in a socialist society only a few high-ranking members of the communist party have political power.

No, a direct democracy requires a free market economy which is not socialist.

Yes, if everyone voted on economic decisions rather than letting markets decide them, then it could be considered a socialist direct democracy.

Yes, if the society was ruled by a king who made the majority of economic decisions, it could be considered a socialist direct democracy.