Would Heath Leger be the third actor to win an Oscar in a crossdressing role?

As the Joker in The Dark Knight, Heath Leger spends a small amount of time in a candy striper's uniform. It looks like he will be nominated for an Academy Award for Best Supporting Actor. Dustin Hoffman won a Best Actor Oscar by crossdressing in Tootsie, and Hilary Swank won Best Actress for Boys Don't Cry. Would Heath Leger be the third person to win an Oscar in a cross dressing role?