A self-employed business owner can open an AliExpress store with a business license, but certain conditions must be met.

First, the self-employed business owner needs to obtain a "Business License" from the industrial and commercial administrative department, and the words "self-employed business owner" must be reflected in the name of the self-employed business owner, such as "Zhang San self-employed business owner".

Secondly, to open an AliExpress store, you need to provide relevant corporate certification materials, including business license, organization code certificate, tax registration certificate, etc. Since self-employed businesses do not have organization code certificates and tax registration certificates, you need to select "self-employed business owner certification" during certification, and provide relevant documents such as business licenses and identity cards.

Finally, it should be noted that if self-employed businesses conduct cross-border e-commerce business through the AliExpress platform, they also need to meet relevant regulations in terms of customs, taxation, and foreign exchange management. Therefore, before opening a business store, you need to understand the relevant regulations and comply with relevant laws and regulations.