No, you generally can’t. Jump movement comes out of your movement rate, probably to prevent people cheesing some extra distance without paying for it.
If you’re in a situation in which a character needs to cover a run up and jump distance too far for their normal rate, such as clearing a substantial obstacle in combat, consider charging them a Dash action to increase their movement allowance to accommodate the distance. If they can’t spend the dash action, then they‘re SOL and need to figure something else out.
Outside of combat, accounting for the movement rate is never going to be necessary.