No, the exemption (to section 47 of the Road Traffic Act 1988 - offence of driving a vehicle on the road without a valid MOT) applies when

- travelling to or returing from a testing centre for the purposes of a pre-arranged MOT test

- travelling to, by prior arrangment, or returning from the place where the relevant work is to be carried out and an MOT has been refused

- towing a vehicle that has failed its MOT to the scrap yard...