You can do this wirelessly, or via a cable connection and two modules. It's routinely done in the corporate world for PowerPoint presentations - the presenter stands at the screen whiile a colleague operates the presentation with a keyboard and mouse from the back of the room.
Be warned - the wireless version isn't cheap (around £250) but that gets you a special keyboard and mouse. It will work up to 100 feet or so. The cable version can operate over far greater distances - up to 300 feet.
click here to take a look at thr wireless kit.