It is possible in CCV Shop to sell only products that are in stock in the webshop. When there is no more stock of a product you can decide for yourself what you want to do with this product. For example, you can show the product but not show the order button or you can make the entire product disappear on your web store, and many more possibilities.
The settings to determine this can be found under "Starting point > My Webshop > Settings > Ordering process & Stock> Stock management". There you will find all settings to determine the settings when there is no stock left.