For Hugo, there is Hugo Version Manager (hvm)[0], a project maintained by Hugo contributor Joe Mooring. While the way it works isn't precisely what you described, it may come close enough.
I say this as someone who uses Hugo and is regularly burned (singed) by breaking changes.
Pinning your version is great until you trip across a bug (usually rendering, in my case) and need to upgrade to get rid of it. There goes a few hours. I won’t even mention the horror of needing a test suite to make sure the rendering of your old pages hasn’t changed significantly. (I ended up with large portions of text in a code block, never tracked the root cause down… probably something to do with too much indentation inside a bulleted list. It didn’t render that way several years before, though.)