Yes - although Ellington really didn’t do much flying. He gained his pilot’s certificate in late 1912 and was promptly appointed the Secretary to the committee which had set up the RFC. He then became a staff officer at the Directorate of Military Aeronautics before being sent off to CFS to complete his training. He left CFS as a member of the RFC Special Reserve, but when war broke out wasn’t sent to join the RFC, instead ending up at GHQ BEF. He served in a series of non-RFC staff posts until 1917, when he went back to the DMA as the 1* Deputy Director. When he transferred officially to the RAF, he did so as a 2* and thus never held any flying command appointment in the RFC or RAF. He was AOC in Iraq, India and the Middle East and AOC-in-C of Air Defence of Great Britain. He did some flying during this time, but not very much at all. Had Geoff Salmond lived, he’d never have been CAS.
I think that Rich, with his PPL may in fact have about as much stick time as Sir Edward did….