WooCommerce extra fee on shipping cost if checkbox ship to other address is enabled

Is there an option that, say if a customer wants to ship to another address other than his billing address, can there be an extra fee based on that checkbox? I want that if a customer unchecks that checkbox, a extra fee of € 12.50 is added on the shipping cost. If anyone knows, please let me know :)

The checkbox is the default woocommerce checkbox btw. See attached file.

WooCommerce default shipping checkbox