I'm going to go with no, Finn isn't aware by the end of the movie that Rey is Force sensitive. From the time she started to find out about it, she was on the run/being captured by Ren and then escaping from Starkiller base. There was the time when they were reunited till he was taking out in the fight with Ren where she could have mentioned it. But they were quite busy, and it was never done on screen, so I'm going with he doesn't know. That said, I'm sure when he wakes up people will explain where Rey has gone and why. He might have an initial freak out, but I'm sure Leia or someone will set him straight that Luke and the Jedi are not like Snoke and Ren.
That said, I don't think Rey and Finn will see each other again in the first, maybe second act of part 8. It's looking set up to be similar to Empire Strikes back. Rey is off training to be a Jedi. Or at least trying to convince Luke to train her. Finn, Poe and the rest of the Resistance are now suddenly going to have to relocate bases because the New Order knows where they are, and are going to be coming for blood after the destruction of Starkiller Base. Ren will probably be training with Snope, and Captain Phasma (And maybe FN-2199, if they decide he survived?) will be hunting down Finn in particular for his part in her humiliation. So paralleling the Boba Fett hunting Han and Leia in Empire...
Mind you... I would like to be wrong about this. I would like them to go an original route with the story instead of just copying the original trilogy. I would like Rey, Finn and Poe not be related to any of the existing franchise characters. I just don't think Disney will do that. I think they'll go for the safer 'stick to what worked before, tie everything together' route.