visibility of products in wix store

You would be better suited going through Wix Support for questions about the Wix Stores app, or read their own support pages.

https://support.wix.com/en/article/contacting-wix-support

https://support.wix.com/en/wix-stores/setting-up-your-store

You can do it for prices already.
https://support.wix.com/en/article/hiding-the-price-of-a-product-in-wix-stores