Specific field tag based naming conventions (overriding views-view-field.html.twig for specific fields)
I am able to use the tag to create template files for everything other
  than the specific field templates. – John Millnik


Your comment gave me the following thought: When you tag something, you tag the node and not the fields themselves. Fields do not have any tags, which makes me think that what you're trying to do is not possible.