Adding extra fees to the check out is possible via WooCommerce plugin or when you add custom code.
Child theme
If you are comfortable installing the included child theme and adding code to a functions.php file then this link is for you.
Add a surcharge to cart and checkout.
How to add handing fee to WooCommerce Checkout.
Adding Fee to WooCommerce with Conditional Logic Made Easy
A mroe technical guide from stack overflow
Plugin
If you are more comfortable using plugins then here are few we've found that should be able to add extra fees for you.
WooCommerce Product Fees
WooCommerce Extra Fee Options
Paid