Nope, sorry to tell you it won't work on a 360. Why is One handed gaming more possible with the ps2 controller than the 360 controller? Let me know if it's a stupid question
Is it a permanent thing to only be able to play one handed, or did you just get a temporary cast or something? If permanent you may try visiting adamthole.com and contacting Adam about making one of his single handed controllers for you. Or if having tilt control for just one of the joysticks would work for you let me know because I can make a tilt controller for you for the price of parts.