Well known workaround that I've discovered inadvertently. Or if you "fall" from a certain height (stairs, etc...) it might work, you land on your feet and you go again.
But if you don't have any arrow in your gear, you're done. (e.g Thief's rising GE, only blackjack...) Got to reload and sometimes a far save.... Happened to me like a hundred of times.
Every author should give at least one arrow (like a simple arrow at least) to unblock the frustrating jump issue...