Would it be possible to wrap (using Cocoon JS or another wrapper) an entire website (including C2 games) as an app for mobile?
I think it would and you should have a variety of options if they still work:
The 1st option would be the use of THIS plugin called "IFrame".
With that you can load webpages and do other neat things, you should watch out for limitations though.
you might have to include the "webbrowser" cordova plugin (easier than it sounds, trust me on that regard).
I remember these working for me about ~2 years ago, so there might have been made breaking changes.