Hi,
You should be able to use a mass action.
You can use a filter on the order column "order_user_id" being equal to the id of the user in the Customers menu of HikaShop.
And you can have two actions "update the values" on the columns "order_shipping_address_id" and "order_billing_address_id" being equal to the id of the new billing/shipping address. If you hover on the edit icon of the address in the user details page in the backend, you can see the address id in the URL:
monosnap.com/file/KcbFWHnFfLfP35aWMSmAvHYTIxFP4s