There's nothing built into Max, AFAIK, to let you copy and past poses on regular bones. But with some of the new features in 7 I wouldn't be surprised if someone comes up with a script to do that.
Paul Neale has a script that will let you copy and paste poses for custom attributes, but that's not the same as copying the rotations on the actual bones. Here's the site though if you want to check it out: paulneale.com
You can save the animation from a character if you use the Character Assembly tool. Look up "character" in the Max help doc.