I do not believe so, I have never found any reference to it. The only British presence in Verdun I am aware of is a detachment of British volunteer ambulance drivers in an ambulance section based in Fort Souville and a British run hospital the Urgency Cases Hospital in the Chateau du Faux Miroir (British doctors in charge) that treated about 3,000 French casualties from Verdun, There was also "Section Sanitaire Anglaise, which was a British detachment of volunteers helping the French Red Cross at Verdun. They wore British uniforms but were under French orders".

So can read a bit more about it here in a Redcross blog:

http://blogs.redcross.org.uk/world-war-one/2016/02/remembering-brave-ambulance-crews-battle-verdun/