Hiding a page to logged in users with no access to it

Got this working on my site. I was able to hide the SHOP menu from logged out users. However, I wonder if this is possible: Hide a particular page to logged in users that have no access to it. Like for example, the CANCEL ORDER menu item is only visible to those logged in customers WITH recent orders only. Hope someone has an idea. Thank you.

http://wordpress.org/extend/plugins/wp-custom-menu-filter-plugin/