You don't need a permit. However, if you're planning to sell branded products you need a reseller license.
Most of Aliexpress suppliers will dropship products for you. Those suppliers that will not dropship products for you usually have this statement "We only ship to confirmed order addresses. Your order address MUST MATCH your shipping address.". This means that they will not dropship products. That is usually written in supplier's shipment guidelines.
Also, if you sell a product and receive money that is considered as business activity, therefore, you should pay sales tax according to your local government policies. You should then consider incorporating your business (to a sole proprietorship or any other business entity form).