Private events?

Is it possible to set the calendar so that it only shows a users own events and not anyone else's without the option to change that. I know there is the option "Only show my events?" but I wish to remove that option and force "Only show my events!". The administrators would be able to add events for the users and the users would be able add events themselves but I do not want users roaming through other people's events. The text for many events will contain personal information and this should remain private. There will be other events that I would want to be public so if this could be done on one calendar with the parent remaining open I would be very happy.