I've been asked to add a menu bar to our ARC app's chrome window. So, two questions:
To clarify, this would be similar to the drop-down menu that the usual Chrome window has in the top-right corner but it would contain custom entries.
No there's no way to add a menu button in the top bar. The functionality you're describing sounds similar to an action bar, which is the preferred way in Android to add a menu in the app (as an overflow list), since navigation bar menu keys are being phased out: http://android-developers.blogspot.com/2012/01/say-goodbye-to-menu-button.html