Hi,
No, there is a pay link you can give. However, it's not linked to PayPal, it will work with all the payment gateways supported by HikaShop.
You can give that link:
http://yourwebsite.com/index.php?option=com_hikashop&ctrl=order&task=pay&order_id=XXX
where XXX is the id of the order to be paid. Only the customer account linked to that order will be able to pay it after logging in, for security reasons.
This also requires the "Payment of orders not paid immediately" setting to be activated in the HikaShop configuration.