Yes there is. Just download your save files, configure your USB from xbox, Download XStaf and go to most bottom and inject your save files there.
Forgive my ignorance.... I also want to pull the save files from my xbox and put them on my 360, if possible, but I did not understand the instructions Monyo gave. What is meant by "download your save files", and "configure your usb from xbox"? Do you mean to plug the xbox into my pc? These questions must sound dumb, but I really don't know what you mean. I just want to finish KOTOR II without having to clutter my space with my old xbox or having to start the game over on the 360, I had already put in like 20-30 hours at the last time I played it, like 2 years ago!
Your original Xbox has to be modded in some way to get FTP access to it, if it is thats the easiest way to do so. If its not modded this a tutorial you can follow and hopefully do it all for free: http://forums.xbox-scene.com/index.php?showtopic=496263&st=0 they are easier ones to follow however you will need to get hold of a game and a memory card with a hacked save game on it. I the Action Replay Max memory card for the Xbox 1 could connect to your PC via USB and copy saves off it.