Echo out element to another page.

Well, writing echo ninja_forms_field_submission_left_display( $field_id, $data ); into a template should do it, if $field_id and $data is correct.

Creating a shortcode should be equally trivial:

function field_sc_wpse_145003($atts,$content) {
  if (!isset($atts['field_id'])) return;
  return ninja_forms_field_submission_left_display( $atts['field_id'], $atts );
}
add_shortcode('fieldfc','field_sc_wpse_145003');

echo do_shortcode('[fieldfc field_id="abc" default_content="def"]');