Not really. The KH series is very difficult to make a challenge out of. The only one I can think of is a "no change Keyblade" challenge, but since that doesn't limit out anything else, you can still manipulate all the other stats.

The most difficult challenge I can think of KHI is inital equipment, no items, and Sora cannot attack, except in boss battles. Assuming it's possible to do (because Sora NEEDS to attack in many cases to clear an area, nor does it stop the ability to power level). Using the evening leveling blueprint also adds to the difficulty.

KHII would be initial equipment, no items, and no magic on the Magic path, as well as Limits, Drives, or Summons. But since there is always one aspect of the game you can manipulate (and KH is easier than FFs), then the challenges would have to be incredibly unrealistic.