Good afternoon, Jacob,

I would suggest that you contact AJAX The Association Jewish Ex Serviceman & Woman at
https://www.ajex.org.uk/our-people from past experience they should have a list of the British Military Rabbi's 
that served during WWII.

They may refer you to the Jewish Military Museum which is now based at the Jewish Museum in Camden, London.

Regards,
Michael

Michael Hoffman
Borehamwood,
HERTS UK