Hi,
It depends on your situation
If you only have HikaShop on your website and you're using the latest version, then it's fine.
If you have other extensions, then I can't say for sure as each extension needs to be compatible with Joomla 4.4.
For example, for the issue on this thread, it was reported to AcyMailing 1 week ago:
forum.acymailing.com/d/6793-0-joomlacmsm...rfactorycreatemailer
And the new version, the 8.8.0, with the patch for the 4.4 compatibility was released 3 days ago:
www.acymailing.com/change-log/
So if you have the latest version of AcyMailing, or you don't use AcyMailing, you're fine.
I suppose that by now, most big issues should have been fixed by the developers of big extensions. So if you are up to date with your extensions, you'll probably be fine updating Joomla to the 4.4.0, but I can't guarantee it for things other than HikaShop.