Thank you for sharing that information. I understand that you had a potentially fraudulent purchase on your store and would like to know about having the processing fees refunded.
If this transaction was processed through Shopify Payments, then there is not an option to also have the processing fees refunded too. This is standard practice for many online payment gateways. Even when refunding an order, the fees for processing the purchase and refund of the transaction are passed to the payment gateway provider and as such those fees are passed onto the merchant store involved.
If you were using Shopify Payments and have additional questions about this, please don’t hesitate to reach out to our live support with your questions.