Is it possible to chain together more than one gamepad through the gaming port? Right now I'm operating on a keyboard hack/gamepad hack combo, to avoid blocking issues... but I'm looking into adding an analog stick, so I can play Sinistar...

(oh, and all those other analog/49way games too)
Unfortunately the gamepad and the analog stick both, of course, require the gaming port. Is there any way to splice them (or the port) to run at the same time? The inputs do not need to be seperate, and I'm not worried about disabling/enabling sticks when not in use... feels like a simple problem, but I'd like some input before I go ahead and murder my analog stick.
Thanks,
-Matt