If you mean will the screen work with just the xbox video then maybe, depends what imputs it has.
If you are talking about using the touchscreen part to control an xbox is may be possible but difficult. You would need to chip then install linux, then you would probably need a serial->USB converter as there are no serial ports on the XBOX just USB (with proprietry connectors).
Like I said not easy and you would have to do a lot of configuration in linux so you would have to be confortable in the linux enviroment. Here is a great site with a touch screen linux system
http://www.dashpc.comdashpc
If you wanted to control the xbox using touch screen then I doubt it would be possible, the xbox dashboard doesnt have code for that type of interface.