No. The original submission described the vulnerability as requiring an authenticated user, but it was later discovered (recently) that it works unauthenticated too, and that's what kicked off this mass exploitation. No user account is required.
I am confused by this right now. I built a self-hosted gitlab install years ago for my own use, turned off sign-up, no public project listings - and still it was compromised. The HackerOne PoC URL throws a sign-in redirect for me, so I'm still trying to work it out.
Same thing happened with my self-hosted gitlab. Besides I got a new user (gitlab) with admin privileges and somehow installed a miner script running under git user (system).