Yes, absolutely. Owning and managing a dropshipping business is completely legal. Of course, you will need to do your homework to find out all about the legal requirements before starting a business like this, for example, what are the ecommerce laws that apply to a specific location.
That’s why we strongly recommend that you check the specific rules of the country of your choice (or that of your target countries) before starting selling products online.
Also, you should check all the information you have available on common legal concerns and issues that dropshippers can come by.
Read this article for some of the most important legal issues when dropshipping