Hi,
It would require a view override to add the display of such information.
HikaShop order do not provide the order weight ; so you'll need to calculate it using the order's products.
To simplify the process, you can see to use the HikaShop cart class functions, like "calculateWeightAndVolume" ; but you'll need to give it a compatible object as parameter.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.