Hi,
Well, to change the name of the product stored in the order, you can edit the product on the order edit screen and modify the text in the input of the popup.
Now, if you're asking how to dynamically translate the name of the product in the order, it's possible. In the file order / invoice, that you can edit via the menu Display>Views, you can change that code:
<?php echo $product->order_product_name; ?>
to:
<?php echo $class = hikashop_get('class.product');
$data = $class->get($product->product_id);
if(!empty($data->product_name)) { echo $data->product_name; } else {echo $product->order_product_name; } ?>