This is a trick that I also use for driving eye-bolts into wood, and that is to use a screw hook or cut eye bolt chucked up in the drill and then hook it through the loop that you want to screw in or turn.
If you have access to a angle grinder or other way to cut a bolt, I suggest using a heavy duty eye bolt and cutting out a part of the loop to make a slot just big enough to fit your jacks eye hole into.
If you'd rather not cut an eye bolt, a heavy J hook can be used, but I have found that you can't get one that is quite as thick as an eye bolt, but that might not be a big deal.

Imagine this with about a 1/4th of the circle cut away so you can loop it through your jack's eye.
Turns out I'm not the only one with this idea (of course) - check out this article to see it in action.