Yes, To reassign a Vendor order to the correct customer work order, you would need to update the customer on the work order itself. The vendor order has information about the supplier, including where the items should be shipped doesn't link to the customer directly. Therefore, changing the customer on the work order will move all the work order information, including the vendor order, to the correct customer.
However, it's important to double-check the ship-to address on the vendor order if you change customer from Customer A to customer B with the Work Order/Quote. Click on the dropdown and select the job site or office location related to the current customer on the work order. Ensure that the ship-to address is correct so that the supplier can send the items to the right location.
It's a simple process of moving the customer on the work order /Quote level itself, and it should resolve the issue. If you encounter any issues, please feel free to reach out for further assistance.