Nope, especially if you are using fieldpoints. Those WILL NOTresult in a quick kill, meaning the skunk would have time spray his musk before he died (if he ever did, arrows kill by hemorage which a fieldtip will not cause, you need a razor sharp broadhead for that) If you are really going to try this, I would recommend you attempt a skull/neck vertebrea shot that will shut down the nervous system of the skunk, paralyzing him before he can ever contract the muscles to spray.

I would imagine though, no matter how you kill the skunk, some smell will be emited because once the animal dies, the muscles around the sphincter that keep the musk contained will relax and the musk will be able to leak out. Its the same principle that cause animals to defecate/urinate after death; the relaxation of muscles.