Unfortunately, no. Especially because of the license keys. You can though, with the windows installed on the other pc, You could use windows 7 easy transfer mode. Windows Easy Transfer - Microsoft Windows
Keep in mind this will not transfer programs. It will transfer their data and settings, as well as your personal files though.
You will need to re-install your programs ether way.
Unless, this is just a guess, but you could possibly do the system image and copy it over, then change the licence key to match the new one on the new pc.....but I do not think that will work. As the key will probably not work since it is most likely a retail key.