Amazon API - is it possible to combine selling my own products, from my home, with other amazon products? (see desc)

This is what I would like -- a shopping area on my website. A user goes to this shopping page, they select the products they like, and they add them to shopping cart. When they are ready to check-out, they are transferred with all items in cart to Amazon to complete purchase.

Here's the twist: I would like to sell some DVD's from my home, ship them from my home, without listing them on the Amazon m开发者_开发百科arketplace (only available through me). Those would appear in the shop on my website. And the other products in my store would be items I select from Amazon marketplace, that other users are selling, and list them in my shop so I earn affiliate commission from the sale.

Is this possible?

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Listing Amazon products is possible (aStore).
Selling things on your site is possible.
Listing Amazon products on a site you are also selling things is also possible.

The main thing is are you going to follow Amazon's rule's on listing those products among others? I really don't know. Read their rules.