Well, no, sort of. The anime uses music from the game, which had a
soundtrack released for that. The songs you are looking for are indeed on that album, along with their short and karaoke versions.
If you're referring to an OST that features anime-exclusive musics (I've no idea if there are any, though), then there probably isn't one. Or if it's the movie you are talking about, there is an OST for that as well.