Rey's Parents aren't in *The Force Awakens*, so presumably Luke Skywalker is not Rey's father. This was [confirmed](https://www.yahoo.com/movies/star-wars-jj-abrams-reveals-big-clue-about-024438518.html) by director J.J. Abrams.


>ABRAMS: Rey’s parents are not in Episode VII. So I can’t possibly say in this moment who they are. But I will say it is something that Rey thinks about, too.

He also added,

>ABRAMS: What I meant was that she doesn’t discover them in Episode VII. Not that they may not already be in her world.

This still seems to indicate that Luke is not her father as Luke was 'discovered' by Rey in the film, while her parents weren't.