Stupid question: can I sell other sellers’ products directly on my eCommerce, as an Affiliate… and then deliver with FBA?

I know it sounds weird, but I’d like to use the FBA program without storing products.

As an Affiliate, my users will complete the order on Amazon, but I want them to complete it on my ecommerce.

My goal is NOT to make money through Amazon (except for maybe the Affiliate fees).

I’m exploring a service that adds value on some specific products, and using amazon FBA would be much easier for global distribution.