Magick is natural, growing wings defys nature, unless it was evolution.
Growing wings, Becoming a mermaid, and becoming a Vampire, The 3 big ones that misslead new people to magick, none of these things are possible to do with magick, plain and simple.
Now onto your fairy theories. A Fairy, better known as the Fae are a group of nature spirits, that may not even have a psychical form, and if they do, then, well i don't imagine it is from our prespective of it. So if you were to grow wings, you would not be a fae, an angle or a Demon. I am sorry to have to tell you this, but it is better to learn it early :)