That's not really true. You wouldn't be actually able to define yourself as Afro-American in the US, beyond maybe lying on a form (and even that designation would probably be overridden if it mattered). Pretty-much everyone would consider your self-designation to be annoying BS.
A few full-blooded white people have tried passing as Afro-American (only possible because of the lingering effects of the one-drop rule), but they received a lot of press (and rejection) when the real story came out.