Given the new Amazon Lending program, I'm guessing they're starting to move in that direction. It's for sellers buying inventory now, but Amazon has a lot of data about what sells that can help it determine what's a good risk for investment.
Amazon has a "lending program"? Can you point to it. That's the magic that holds this together. Get prefunding that's only available when you are ready to ship. Secure a loan with the prefunding to go into production.