Of course it can be done. It's rudimentary electronics watson!
First you will need to downgrade the GPU on your 360. The current one is a little beefy for our needs, this is easily accomplished.
*First remove the case using a screwdriver, spoon or blowtorch.
*Once the case is off you can lift out the Disk tray (if you used a blowtorch then be careful , it might be hot).
*Under the tray is the GPU. It'll lift out quite easily. I prefer to replace them with the Nvidia 100. It's won't fit quite properly into the GPU slot, so I advise that you snip off the less important looking end with a pair of scissors (you can celotape the spare bit the one of those other circuit boards later).
*Once the new card is in place, you're ready to roll. put the desk tray back in (if you used a blowtorch then be careful , it might still be hot). Screw the case back on, and duct tape any broken bits.
*Plug your 360 in, and prepare a fire extinguisher. If you have the off-cut from the GPU lying about, stick it in the headset slot of your controller, what the heck.
*Turn on your 360. It
should light up. Put in your FPSC game, and play away.