One woocommerce connect to different sites?

Question

WooCommerce

Is it possible to organize one site on wp c with a database of products, and then connect these products (and a basket) on different sites?
For example, there is wp on hosting with the domain base-tovarov.ru + there are three landing sites (somewhere the conditions are better, somewhere the customer has already paid for years ahead ...)
1 - sale of exclusive 10 t-shirts
2 - sale of exclusive 20 boxes
3 - sale of an exclusive paper clip bent into various shapes
, etc. ...

so as not to twirl a separate database for each / install and configure wp, etc. ... is it possible to organize a link to the main database with a piece of code in html + js?
Suppose there are three buttons on the 2 site, when clicked on, a basket is formed; when clicked on which (go to checkout), the entire basket is transferred to the site with the main database (goods) and then the user performs standard checkout procedures and delivery calculations, etc. ... I'm

interested in in order to understand - is it worth digging in this direction and are there ready-made solutions for wp?