With fat grafting, blood vessels from the injection site and blood vessels in the fat must re-establish blood flow via arteries and veins to survive and “take”.
When this happens, final results can be permanent. However if you’re looking for a temporary solution, you may want to consider dermal fillers, as the results of fat grafting can be difficult to predict.
Regardless of the option chosen, the face does not swell enough from the procedure to permanently stretch the skin. Make sure to discuss all options with your surgeon to be sure you’re picking the right one for you and make sure they are experienced with fillers and grafting.