Hi there,
Yes this is possible if the menu item is a post or page. In this case, if the post (or page) is restricted to a group, then the respective menu item will show up only to those group members that have access to the post itself. For a menu item though that is a custom link, then groups restrictions cannot apply due to technical limitations.
Another option you have especially if you’re using an FSE theme, you can add more than one Navigation blocks each one of them being restricted to specific groups. All you need to do is first add the?Groups Member block, and inside it put the Navigation block(WP Core block). These two blocks can be added more than once, each time restricting the Groups Member block to a specific group while the inner Navigation block can have those menu items you wish to show for this specific group.
Kind regards,
George