Have a question for the shopify + aliexpress method

Hi guys , I'm new to this , and I want to try to get into making a shopify store in which I sell "free items" but include big shipping fees. I have some questions : on AliExpress it says that the shipping time 29-59 days. Does that matter? Won't the customers be kinda mad ?
Also , how is it actually done ? I get a customer's order and then I go on aliexpress and buy the item myself , but with the customer's shipping address?

On alot of products have a shipping option called epacket. It's 12-20 days