HikaShop never store the credit card data and directly sends it to authorize.net and since authorize.net doesn't want the name on the card, the authorize.net plugin doesn't ask for it since there is no need for it.
If you want to ask additional information to the user, you can create a custom order field via the menu Display>Custom fields. The field will display on the checkout, the user will be able to fill it and it will be stored with the order in HikaShop.
Otherwise, you could use a payment gateway which supports asking the name on the credit card.