Yes. If Kylo would have lied to her, he wouldn’t have said that she already knows it and then be surprised that she didn’t.
I don’t buy that her parents are dead and buried on Jakku. Why did she have this flashback in the middle of her experiecning visions after touching Luke’s saber in TFA? It’s the only thing she recognizes and has nothing (seemingly) to do with Luke.
I think it’s just because the trilogy wasn’t planned out. JJ thought that Rey’s parents should be important, Rian felt differently.