Not in the way that the CofE does, which involved automatic membership of the HoLs when a person is appointed to a senior position in a different organisation, in other words the top 26 Bishop roles.
By contrast the Chief Scout doesn't automatically become a member of the HofL when appointed to that role.
Nor the CEO of the RSPB
Nor the CEO of the National Trust
etc, etc
The CofE is afforded a massive special privilege with regard to access to the HoLs that no other organisation receives.
You can explain to Vlad, how secularism works until you're blue in the face Proff, unfortunately there's no one home on the subject.
I tried to explain that the UK NSS was collecting contributions that can give some aid to the Rohinga refugees that are suffering religious persecution at the mo, that must have been another of Vlads flat liners, with no sign of any recognition of how secularism works, you can't even get through when you tell him about the many secularists there are that belong to the various differing religious beliefs, still zero, perhaps it's me, give it a go, you might be able to get through?
Whatever you present to him his, loose term, answer, more than likely wont relate to whatever you've asked of him.
Regards ippy