If the creature ends the movement over a drop, it falls and can’t move any farther as part of the current action. If the creature runs out of movement before landing, it also falls. However, if the jump was part of a move action, the creature can continue the jump as part of a double move, ending the first move action in midair and continuing the jump as part of the second move action. The creature makes a single Athletics check for the jump but can use squares of movement from both actions for it.
You have the free will to agree or disagree.
You have the ability to act freely on the above choice regardless of the consequences.
I had the amusing image of an immediate interrupt to grant an enemy a bonus to an athletics check to make them overshoot a jump.That'd be hilarious. And dumb.