It depends on the surgeon, and to some degree on the details of your particular body (as to whether it's possible).
I agree with AnonyMs that it's a better idea to find a surgeon who does what you want routinely. I disagree strongly, however, that Brassard "doesn't do [labia]"; I went to Brassard and have perfectly nice labia, and so does everyone whose results I have observed, including in person. He prefers to create small and tidy inner labia, which is a fine example of picking a surgeon who produces results that you like - I, personally, do not like the large inner labia and the look of the outer labia that are typical from Suporn, and so I would not have chosen him. Personal preference is an excellent reason to differentiate between surgeons.