Hi,
No, this is not possible.
However, there are two things you might not know which might be able to somehow help you:
- In the menu System>Warehouse, you can configure warehouses. In each product, you can select a warehouse, and then in each shipping method you can select a warehouse. When you do so, during the checkout, the products in the cart will be grouped by warehouse and each warehouse will have its own shipping method selection. So with this, you can have several shipping methods applied to the same cart, which will then be summed up to make the total shipping fee.
Now this can only happen in very specific cases so I doubt that it would apply to your situation, even though you didn't explain if your shipping methods have some kind of restrictions, etc.
- On our marketplace, we sell the cart fee plugin:
www.hikashop.com/marketplace/product/279-cart-fee.html
This plugin can add extra fees based on formulas. Now, this plugin can't have formulas based on the shipping method selected. However, if you know a bit of PHP, you could modify it to add an extra fee based on the selected shipping method.