No, there are no music-specific scholarships through Columbia. Financial aid for Columbia College undergraduates is need-based; admission to Columbia college is need-blind for domestic students. You can read more about Columbia's financial aid policy here.
There are, however, two scholarship opportunities to continue your musical studies once you are an undergraduate student at Columbia University and a participant of the Music Performance Program. These are open to all MPP students in good standing by-audition only.