You can open a store without the burden of managing inventory. One of the ways in which you can use Amazon affiliate links is to populate your online store with third-party products. This spares you from having to produce, store, or even manage inventory. That’s all handled by the manufacturers. You only need to worry about maintaining your online store.
Once you’ve set up your account, do note that Amazon requires you to use product links and generate income from at least three of them within 180 days. If you fail to do so within that time, they will close your account. If you are able to satisfy that requirement, Amazon will review your account as well as your usage of affiliate links once the first sale is complete.