If using MS Outlook, the answer is yes. All you need to do is have your IT section create a calendar in the groups area. This is an area where people can see folders and other calendars but not really can access them. With you as the ownder of the calendar, you can add and remove people from it and also give the permissions on the calendar, like, Read, Modify, and Full Control, but the last one I would keep for yourself.
Of course, your local IT department would also have rights to it in the event that you have a problem with it, they can go it and try to repair it. If you remove them, and a problem arises, then you are on your own. Good luck.