A fair bit of handwavium can be applied here by virtue of universe precedence--Final Fantasy dragoons since forever have been able to leap impossibly high and spear people's scalps. That's sort of what they do.
Failing that, though (and with no prior knowledge of the Job's quests in this game), perhaps there's another way. I refer to the Heavansward trailer for this one, as in a few of those shots had that Dragoon locking in to his armor with what appeared to be no magic or anything like that. Like it was a sort of powered armor.
So....perhaps jumping is achieved through motor-assist in the armor's boots and legs?
Failing that, though (and with no prior knowledge of the Job's quests in this game), perhaps there's another way. I refer to the Heavansward trailer for this one, as in a few of those shots had that Dragoon locking in to his armor with what appeared to be no magic or anything like that. Like it was a sort of powered armor.
So....perhaps jumping is achieved through motor-assist in the armor's boots and legs?