Is multi-cart possible based on the standard WP or Opencart store template, etc.?

Question

Online shopping

Let's say there is a standard template for an online store electro.presta-demo.com/demo1/.
Here it is necessary that the goods are not added to one basket, but to several, but displayed on one "Basket" page. When a product is added to the database, it will, of course, be assigned a criterion: supplier 1, supplier 2, etc. According to this criterion, the goods will be divided into baskets.
There is an example on Aliexpress:

And on Wikimart:

Attention, the question is: is it possible to do this in some standard way / plugin (not for six hundred billion dollars)?

Answer 1

You answered your own question, you just logically redo the basket in relation to the new data field - the supplier.
I didn’t see this on opencart and prest, but CS-cart quite officially rolled out such a format of its engine - cs-cart.com/multivendor

Answer 2

WordPress has WooCommerce. The easiest option is to make a multisite. Then each supplier will have its own catalog. Own basket, etc. This can be done without programmers.
If you wish, you can summarize the data on the central site. And make a shopping cart with options. Or write your own cart logic. The flexibility of this solution is sufficient to implement such a mechanism. But programming is required.