I don’t think so WWM2. On 27 May, Bryant tweeted:
I have summoned a meeting of the Commons Privileges Committee for Tuesday 7 June to dispose of its outstanding business, namely a report on the powers of select committees, to follow up our earlier (May 2021) report on which we have been consulting.
That done, a motion to replace me on the Committee with another Labour MP will go before the House, then the Committee will meet again to elect a new chair and start its inquiry into the conduct of the Prime Minister, in which I will take no part as I have recused myself.