How might I display a field twice in a node using different field formatters?
There are 2 options available for this to do.


By linking the image to its image path from the site. This can be achieve using a module https://www.drupal.org/project/image_link_formatter.
By using download module and custom field theme formatter.
In this you need to enable the download file module https://www.drupal.org/project/download_file.
And than create customize the field view using the field template.