Yes, when you Share or Export an itinerary you can choose to show or hide supplier names as well as supplier details (address, phone number & website).

If you select the 'Custom' options you can choose to display these details for some supplier types and not others e.g. show names of accommodation suppliers, but not transfer services.

You can set default visibility settings in your Organisation settings (Organisation > Customise > Public/private sharing settings and Export settings)