Hi,
If the customer is not logged (do not have an account), he can't have any address.
If he can't have any address, he can't have any shipping.
After that, HikaShop Essential (and business) propose the "guest checkout". It won't create a Joomla account but it will create a user in the HikaShop database and allow the customer to have the required information (email, addresses, etc).
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.