Is it possible to jump so high

that you hurt yourself landing? Massive foot-floor coordination fuckups aside, is it possible to amass such velocity on the way back down from a vertical leap that you're sure to do yourself injury? Obviously not on Earth, but what about in lower-gravity situations?

That depends on the strength of your bones. Young, middle-aged, old?  There are certain medical conditions that cause your bones to become fragile. Is there air? Air-resistance?  Spread-eagle, or on your feet?  Landing on water, rock, or typical low gravity asteroid of some rock, but mostly powder/dust? Naked, or in a suit? Which bone? Foot? Leg? Back? Arm? Landing straight-legged, or landing to absorb as much of the impact as you can?