Point of Sale Triggers 3rd Party Supplier Shipping

Hi, I’m currently working on an ecommerce site and I am looking for and integration that is setup for resellers/white label products. I recognize I’m a rookie and this may be widely known of already, but my searches have been fruitless.

Is there an integration in existence that automatically triggers a supplier to ship the product to the consumer?

As an example, it’s as if you used Amazon FBA selling a product on Amazon and your inventory stored in an Amazon warehouse was immediately triggered to be packaged and shipped to the consumer without any manual intervention to trigger the shipment. Now, take what I just explained and remove Amazon and replace it with a reseller/white label seller/vendor relationship.

Does this integration exist?