Possibly, but there's not much evidence
In The Force Awakens, Rey and Finn have only known each other for a few days. It's therefore unlikely that they have extremely developed feelings toward each other, though this may happen in time.
However, at the end of The Force Awakens, Rey does kiss Finn on the forehead.
A NEW DAY.
Finn, unconscious in an I.C.U. POD. His fate
uncertain. Rey sits with him. Deeply worried. Finally she
leans in, close to him. She kisses him and says, quietly,
despite her fear:
REY:
We'll see each other again. I believe
that. Thank you, my friend.
This certainly is evidence pointing to Rey having feelings for Finn, but it is (a) not necessarily the case that those are romantic and (b) doesn't mean that they are (yet) in love.
However, all said, there is simply not enough evidence in The Force Awakens to conclude that Finn and Rey are in love, or indeed that either one of them has romantic feelings for the other
That said, in my personal opinion, it is quite likely that this relationship will develop into something more.