Show "Cross-Sell" product in cart but nowhere else

Is it possible to show Cross-Sell products in the cart and have them hidden in the catalog and search? I notice that when you set the product to “hidden” it does not come up in the Cross-Sell section of the cart anymore.

We have a product which needs to be sold as an extra, but ideally not show up in the catalog etc.

http://wordpress.org/extend/plugins/woocommerce/