This will help you: "
Summary of the Meaning of Public Transport & Aerial Work" (CAA)
Form which comes:
Aerial Work (Article 157 (1) and (2))
2.1.1 A flight is for the purpose of aerial work if payment is made in respect of the flight or the purpose of the flight, unless the flight is in fact for the purpose of public transport (see para 2.2 below).
2.1.2 If the only payment involved is the payment of the pilot, the flight is deemed to be private for airworthiness purposes (although it will still be aerial work for other purposes, e.g. flight crew licensing). This enables a private owner to pay a flying instructor for a flying lesson in his own aircraft even though the continuing airworthiness requirements that would be applicable to public transport aircraft may not have been applied.
My undertsnading of 2.1.1 is that it means "No, you can't" because the "purpose of the flight" is to conduct work which will be paid for.