More context please. The "bump" is (or was) a type of dance. Possibly "bumping to a song" could refer to that.
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MustAskbumping a songIt could mean putting the song at the front of a playing queue so it plays next.
MustAskTen years ago everyone was bumping (to) this song in their car.I'd use "to", but who knows what the young people are saying these days!
MustAskTen years ago everyone was bumping (to) this song in their car.With "to", I could only guess a meaning -- that people were "dancing" in their cars, causing them to move from side to side and bump each other, probably in time with the music. Without "to" it does not make any sense to me.