Can surgery be performed to obtain an epicanthic fold? (Photos)

The natural appearing epicanthal folds are incredibly challenging to create because its almost impossible to predict the webbing that would be need to creased the fold. This would need to be done by removing some skin which would also cause a scar. So the short answer to your question is: No. 
Looking at your first photo, it does seem that you have mild ptosis on the right upper eyelid which causes your eyelid asymmetry. This can be addressed surgically, but it can create some skin asymmetry which may also need to be addressed. An in person consultation would be best to better evaluate your anatomy and understand your expectations. I have provide a link for a patient with asymmetric eyes secondary to ptosis with subsequent repair. 

You look very young. No surgeon in their right mind are operating on children or anyone who hasn't fully developed their anatomical structure...and yeah no one is adding epicentral folds to anyone. The risk of scarring overrides the positive effects you would get.