teorethically it's possible. You should to create your own "order total" extension, that will have storefront model (you can look into public_html/storefront/model/total/handling.php for example ).
This model must have method getTotal(). It returns an array that looks like as
$total_data[] = array(
'id' => 'handling',
'title' => $language->get('text_handling'),
'text' => $this->currency->format($conf_hndl_fee),
'value' => $conf_hndl_fee,
'sort_order' => $this->config->get('handling_sort_order'),
'total_type' => $this->config->get('handling_fee_total_type'),
);So in your model you can set 'value' key as 0, but 'text' can be any text as you want.
Zero value does not affect on subtotal and total amount of order.
You can try to change some existing model such as handling.php to check this approach.
If it work - create your own extention with your own custom total model
