It’s possible but you need custom code for this (or at least I’m not aware of any plugin doing this). Interface wise I would add a dropdown input to select a shop, close to the add to cart button.
Otherwise if you don’t have a developer/don’t code you can achieve a similar result by removing the address fields at the checkout and add a “select port” field (with the address in it)
You can do this without coding with this extension https://www.woothemes.com/products/woocommerce-checkout-field-editor/
Hope this helps somehow… good luck!
