if its a 3.5mm headset you can use the xjacker or similar adapter cables to make it work with your controller.
if you want hands-free (not on the controller) then its a bit more complicated. i'm aware of how it gets done on ps3 (usb audio adapter [soundcard stick] in the front usb which can handle the mic only and hdmi or optical audio adapter out the back which can handle audio) but not sure if its the same on xb360.
if your headset is usb however and is not designed to work with xb360 then no, you're not going to get it to work.