Did Johnny Depp win an Oscar?

No, Johnny Depp has never won an Academy Award (Oscar). He has been nominated for an Oscar twice:

* Best Actor for his role as Captain Jack Sparrow in *Pirates of the Caribbean: The Curse of the Black Pearl* (2003)

* Best Actor for his role as Sweeney Todd in *Sweeney Todd: The Demon Barber of Fleet Street* (2007)