When I first saw the movie with my mother I said out loud "Okay Peeta, all you need to do now is change your name to Edward and you will be in a different fandom." But then she went back to being adorable Peeta and it was all good.
I agree the scene was DRAMATIC, but really he just meant he liked to see her when he could, when she was walking out of school and towards home. It's not like he followed her. Or broke into her house to watch her sleep or broke her car so she couldn't see Gale.