You are correct, but not for the reason you assumed. Bionicle: the Game does in fact exist; It was released in 2003, and mostly follows the storyline of the first three years of Bionicle, including the Mask of Light segment. (Bionicle Heroes, which I've played countless times, came out in 2006) I had first gotten into Bionicle at the time that game was released. I remember asking my parents to get me that game, but, for some reason, they never got around to it. Since I was able to get the first two Bionicle movies many years after their release, I'm still hopeful that I'll be able to find a copy of Bionicle: the Game that I can play.
Your turn, LCP.