Can I access TimeMachine data from a machine other than the one that was being backed up? I have an iMac with a dead internal drive. And I have it's TimeMachine drive. I'd like to know that the TimeMachine-based data is safe and sound so I'd like to restore it to my MBPro. But not over top of my MBPro data.

Is it possible to connect the iMac's TM drive to the MBPro and rebuild my Documents folder in to a random location (not over top of the MBPro's Documents folder) on my MBPro?
You can navigate your backup drive in the Finder. 
Mount it, go to the Backup folder > [name of machine] > [name of volume] > latest > Users > [user name] and restore the files you want.

(You can also choose a date instead of latest to restore earlier versions of the files/files that have been deleted.)