Not as far as I know. I keep an up-to-date bootable installer that I can download using the MDS app, where you can check for other possible macOS downloads. 11.6.2 is not listed as a general (production) release, but is listed as a developer's version. It has had at least 3 versions of the 11.6.2 full installer since being made available. There's no restrictions to using MDS to download that version.
(of course, I don't know if your issue is fixed with that update to 11.6.2, and the public release of that version might be coming in a few days (I don't know Apple's release schedule...)