Hi,
The mass action system can indeed export the order data together with the user data in a CSV file and you can choose the columns you want to export.
However, there is no system to choose the order of the columns.
The "export" button of the orders listing can also do such export but there is no option to choose which column to export.
So the only solution to get exactly what you want will be to modify the code.
For the mass action export, you would have to edit the function _exportCSV in the file administrator/components/com_hikashop/classes/massaction.php
By changing the order of the fields in $params->action, you'll be able to do that.
For the orders export button, you can edit the file "export" of the view "order" via the menu Display>Views.
The first solution is easier to implement but you'll loose it each time you update HikaShop. The second will be a bit more complex but you'll keep the changes when you update your HikaShop.