Before the latest update, Warhawk would allow you to launch a game with the disk, take out said disk and launch it on another system. When I started the Warhawk, I was working under the assumption that the rule still held true. So the plan was to host the games on my 60GB machine and play on my 40GB and be able to come and go as I please and leave the server running all evening.
When I tried to do it on the league's first day, I was saddened and confused to suddenly have the game shut itself down when I asked for it to spit out the disk.
So to answer your question, it used to be possible with Warhawk.
EDIT: An important fact to note is that the Warhawk game (Downloaded off the PSN or Disk version) is less then 900MB. So even with the disk, the entire game is installed on the HDD.