No.
But movies, TV shows, YouTube videos, Vimeo, Netflix and Hulu or any other streaming video content, in HD, WILL show up in 16:9, when transmitted through the digital AV adapter, but maybe will not fill the entire screen of digital flat screen TV it is connected to.
The actual iPad screens and any productivity apps MAY NOT appear in 16:9, but in the iPad’s standard 4:3 screen ratio.
It’s the way it is
Good Luck to You!