Quite a few things to pick out here. Firstly, confirmation of my earlier supposition that he was employed as cook with the Pioneer Corps. Then on 31 Oct 1942 he actually transferred to the Army Catering Corps. This Corps had been formed from March 1941, by gradually transferring all the regimental cooks into a single corps. The aim was the improve professional standards and allow greater flexibility in the deployment of cooks.
There is nothing to indicate that he continued to serve In a Pioneer Corps unit after re-badging to ACC. But equally there nothing to show he joined new unit. He is shown as proceeding overseas to BNAF in draft RVGZF, the code which signifies the convoy used to transport him. This convoy left the UK on 12 Nov 1943 and as Jebber has noted, they disembarked on 27 Nov 1943. The BNAF was the British component of the Allied forces in Morocco and Algiers (as distinct from the Eighth Army which was in Egypt then Libya and was moving Westwards towards Algeria in pursuit of the retreating Germans and Italians).
There would certainly have been large numbers of Pioneer Corps soldiers with the BNAF involved in offloading the huge quantities of stores, ammunition and fuel required to support the British effort in BNAF and for building a stockpile to reinforce the Eighth Army as they drew closer.