Use default constructor if no registration is found

[mykeels]

I have a controller:

public class MyController
{
  public MyController(): this(
    container.Resolve<MyService>()
  ) {}

  public MyController(MyService service)
  { ... }
}

When MyService is never registered, it rightly throws an UnableToResolveUnknownService exception.

However, MyService has a default constructor with empty parameters. Is there a way to get the DryIoc Container to use that when it finds no registrations for the concrete service class?