Can one rescue a dead SSD?

So, a SSD just dieded on me, the root and home partition was on it. The
computer froze and after a cold boot the BIOS doesn't find the disk
anymore. I opened up the casing but couldn't see anything suspicious to
the naked eye. 

Anything I could do at home to try to rescue it? I have backups of most
things but not the most recent stuff.