Hi Bravlin, sorry no right mouse button does a variety of things like a shortcut for "Done" or repeat last command if not in a command currently. There isn't any way to make it click the "Bounding box center" button.

It is possible though to set up a shortcut key script that will push the button on any command that is currently showing it.

To do that set up a shortcut key with this as the command on it:
script: moi.ui.fireUIEvent( 'BoundingBoxCenter' );

- Michael