Well, there are some trees that are alleged to be dwarf fig trees. But I think they're just slow growers. (Michigan Bulb, of all places, sells one under the name "Dwarf Fig" that seems to be a very slow grower). But if you don't get plenty of direct sun (around 10 hours a day at the peak), then I think you're not very likely to get ripe figs there. Worth a try anyway. Other options would be to look for a variety that has a reputation for making figs even with limited direct sunlight (though I do not know of any, nor whether any exists), and then just prune it regardless of how quickly it grows.
Only other advice is to consider editing the word "drawf" in your topic title (I'm assuming you meant "dwarf" instead). If you click on the #1 in that first posting, that will give you (but only you) the option to edit it.
Welcome, and good luck!
Mike