It is not uncommon to have delayed swelling that lasts weeks to even a few months after undergoing Asian eyelid surgery. It is important to continue following up with your surgeon to make sure progress is documented.
Sometimes the answer is absolutely yes, it can be normal. One of the eyelid platforms is bruised. It can really take a couple of months for the swelling to dissipate. On the other hand, sometimes as the swelling settles, it can be clear that part of the issue was the design of the upper eyelid surgery. This is usually caused by a little too much skin or muscle left on the eyelid platform. This platform tissue should be snugged to the upper eyelid crease like a bed sheet for the best possible result. It may be 2 months before you have an answer here.