In theory: From Aliexpress to Amazon

AliExpress to Amazon - Nope.
AliExpress to eBay - Yes
AliExpress to Customer via your own store - Ideal.
If you want to sell on Amazon, buy in bulk from China and ship it to Amazon. It's called Amazon FBA. They'll do everything for you for a commission.

Hum you shouldn't do it with Aliexpress. You should find a product on Alibaba (the factory) and sends stock to Amazon FBA.

You need to bulk buy and then ship