If I were running a game and a player wanted to do this I'd be ok with it but I wouldn't do it myself (unless it was a bonus bond). Part of the game is bonds resolving and evolving. Quest bonds seem like they'd take a while to resolve and could thus be dead weight, especially because I'd need GM/group complicity to advance the quest. Aid/hinder could be cool if you wrote a custom move for aiding/hindering the quest (I think it'd be a misuse to, for example, make quest bond be a +bond ongoing to quest-related moves).
With PC bonds, I know I always have a shot at playing to, affirming, and/or resolving each one, every session no matter what turns the plot takes and there is a clear mechanism to aid/hinder.