Yes, there is a musical called "Edward VIII" which is about the British king who abdicated the throne to marry the American divorcee he loved. This musical opened on June 10, 2022, at the Victoria Palace Theatre in London. It follows Edward VIII and Wallis Simpson from their first meeting to their marriage, focusing on Edward's abdication in 1936. The show was directed by Thommie Walsh and Frank Hauser, and the role of Edward VIII was played by Clive Carter.
Additionally, there is a well-known play called "Edward II" that has been adapted in various formats, but it is primarily a historical play rather than a musical.
There is also a dance spectacle based on "Edward Scissorhands," inspired by the Tim Burton film, described as a magical dance expression of the story.
If the target is specifically a musical titled simply "Edward," there does not seem to be a direct match; however, "Edward VIII" musical is the closest well- documented musical with Edward as a central figure.
