I think it's a manip. They both look very strange in the photo, Damon's skin tone doesn't match. It looks like whoever made this used the scene in 1x03 when Caroline wakes up and finds Damon sleeping in the bed next to her. But that doesn't look like Elena or Katherine. I don't know who it is.
I would doubt the authenticity of this, but in any case, it's not from 3x19. I would say it's too early for DEx to happen - you can never tell what's going to happen in this show, but I just don't think it would happen yet.
I don't know if they would in the next episode, but this is definitely fan made. It's from a video that was made even before season 3 started. The one that made the video in YouTube told it her/himself that this particular scene was made from Damon in Caroline's bed (season1) and then she/he Photoshopped Elena in the picture.
So, No, this picture has nothing to do with next episode.