Is it possible to render a static website within Phoenix Framework?

If you really want to do this, the easiest way is to serve everything with Plug.Static. In your endpoint.ex you probably have this:

  plug Plug.Static,
    at: "/",
    from: :test_two,
    gzip: false,
    only: ~w(css images js favicon.ico robots.txt)

You can remove the only clause.