No, it's not possible to convert or export the movies created in Adobe Director to the HTML5 language. There was a discussion on the Adobe blog to implement HTML5 across all the products, but it's not specified when. When a user needs to convert an Adobe Director file to the HTML5 language, it contacts other web designers that have the necessary skills and knowledge to do it or they simply use Odesk or Freelance websites to look for someone who can do it.
You can check for this information using the results on Google Search page: https://goo.gl/wFa6Gi
