Predator has some powers, but it’s not those abilities that will save him. His weapons are the best chance for victory. Captain Kirk is not someone who should be taken lightly and he’s always ready for some action. The Predator is a creature born for combat and that could make the difference. Kirk is slightly weaker than the Predator and he loses out in the end. Predator wins.

Update! Kirk was able to go into accelerated mode, which gives him a decent level of super speed which would make victory impossible for a Predator. They’re already pretty evenly matched so this widens the gap between them. Captain Kirk wins.