In answer to your question, I would say no. For the reasons Gertrude states.
HOWEVER - let's say a pilot qualified on the aircraft (from other club/group) was actually flying/taxying the aircraft (even from the RHS) and there was an accident. In that instance I would imagine that the CAA would treat that pilot as the commander as far as any action being taken was concerned. Insurances and club member responsibility et al would be a separate issue. Would it then follow that that pilot should be logging P1?! A right can of worms and not sure I know the answer......