How to backup with Time Machine in Single User Mode? Is there any way to enable Time Machine / tmutil and perform a backup from inside the Single User Mode?

I have a Late '11 Radeongate-affected MBP that won't boot beyond the gray boot screen anymore, and I'm about a week's worth of data from my latest backup.
Problem resolved:

(You will need another mac with a Thunderbolt port to make this work. We'll call the problematic one A and the other one B)


Connect a Thunderbolt cable between the old machine (A) to another one (B).
Start A in target mode (Press T on boot).
You'll now see A's drive as an external drive on B's desktop. Go to 'Startup Disk' in 'System Preferences'. Pick A's drive as your boot disk.
Reboot. If everything's working, you should see A's Finder etc. on B's display.
Connect Time Machine to B. Start it. Click 'Options...' and exclude B's drive from the backup.
Run another time machine backup on the HD.


I eventually went out and got a new MBP (which I was planning to do anyway) and migrated directly from the time machine latest backup.