I am new to this software, so I am working on a steep learning curve. I have searched this topic with little success. 

I would like to setup a store, using my amazon affiliate links instead of selling physical inventory.  I know some other e-commerce software is set up to do this, but I don't yet see an easy way, nor an add-on, that would easily do this. 

Am I missing something, or does this feature or ability not exist?

It doesn't exist. If you find something, I would be very interested as well.

 

I don't yet see an easy way, nor an add-on, that would easily do this. 

Am I missing something, or does this feature or ability not exist?

You can use Pages. This way you can set up an affiliate store (not only Amazon) quite easy. 

As mentioned by Sonya above, a pages database would likely be the most simple way to get something like this set up. You can then add anything you wish. If you take a look at the Pages guides on the left of or pages menu here, and look under the "basics" section, you will see a tutorial for creating a recipe section. Following this will give you a pretty good indication of how you can set up something for your affiliate links