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..unfotunately not.
Everything from Mojave (10.14) on will not work on his early 2011 MBP.https://en.wikipedia.org/wiki/MacOS_Mojave#System_requirements
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My Air is also not officially supported but there is a whole community behind it to make it work
https://forums.macrumors.com/threads/macos-11-big-sur-on-unsupported-macs-thread.2242172/
https://forums.macrumors.com/threads/macos-12-monterey-on-unsupported-macs-thread.2299557/
I have an older 2012 Air that officially is not supported by Big Sur but there are workarounds to that. My partner is using that for over a year without any issues. Monterey should also work