No, Cafe Commerce would not allow a store user the ability to add products.
you would need to use Data Bridge and eCart to create this type of store.
Your friends over here at WebAssist! These Dreamweaver extensions will assist you in building unlimited, custom websites.
These out-of-the-box solutions provide you proven, tested applications that can be up and running now. Build a store, a gallery, or a web-based email solution.