I think this is what a 'mobile app' does in Aware IM- it takes the web app, and puts it in a minified browser window that is full screen. (and it allows access to some native features like location, push notifications and camera etc, but in essence its a bookmark that opens in a minified chromium browser.) I stand to be corrected here.
I doubt you can remove the address bar, home button, back and forward navigation arrows etc in a normal browser eg chrome or safari, however it would be cool if you could!
