Hi,
If your question is "is it possible to implement such thing in HikaShop", the answer is : Yes !
It requires some order custom fields, like we did in our demo website but it requires so custom development too. You will need to code your specific rule for your product "quick service" into the checkout in order to show or hide the delivery time custom fields.
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.