I think that would be possible now. Just a little fiddly.
You can find all actions. You can then get the share URL for an action via scripting (just not an action group right now).
If you decode the install URL, you can pull the keyboard shortcut out. I do something along these lines in generating this documentation from manually copiedaction group installation URL(s).
If people felt this would be useful I’m sure that I could whip something up, but it wouldn’t pick up non-action keyboard shortcuts.