I produced my own statically generated wiki that uses forms, email, and a cron job to receive changes, regenerate the site, then upload the changed pages. It's crude, old, non-standard, and definitely not what you want. When I made it some 13 years ago there were no alternatives. Still runs, mind you.

So it's possible, and I'm sure someone has done it, but I have no suggestions. Sorry.

Added in edit ...

Have you had a look at this: http://code.google.com/p/statwiki/ ??

Or this: http://ikiwiki.info/ ??

Or this: https://github.com/arthurk/pyll#readme ??

This also has a lot of information:

http://iwantmyname.com/blog/2011/02/list-static-website-gene...