Yes. Not only did he play guitar, he also played piano, drums and bass on almost all of his records except Figure 8.  By the way, he recorded "Everything Means Nothing To Me" while on mushrooms.

The "Baby Britain" video shows him recording.  (Sorry the embed has been disabled)

Q: You play piano on the record, any chance we’ll see you play one on stage?

A: Very little. Most places don’t have a piano and also, if you sit down
at a piano, that calls up Billy Joel or Elton John. But that’s a good
reason to do it, just to try to blow that up. But, who knows?

Q: It's ironic that you should mention 'The White Album', because 'Figure
8' reminds me a lot of it...particularly Everything Means Nothing To
Me'...was that one of the songs recorded at Abbey Road?

A: I take that very much as a compliment, thank you. That song, though, wasn't recorded there... but it was made up when I had been in a psychedelic state, shall we say, for a couple of days... and that was the product of that. That one was recorded really quickly, so I really like how it turned out... probably because it required next to no effort.


Source(s):
http://cwas.hinah.com/interview/?id=11

http://adamwalton.co.uk/mmt_arc/int-elliott.htm

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