Yes, you can but reservation could function differently depending on the system you’d like to use.
If they can provide an embeddable widget (code/script) we can put on a page on your website, that is possible. If not, or if the reservation page is an external page, we can link to that reservation page from your website using a button link.
We also have a ready-made reservation form that comes with your Restaurant Engine website that can notify you of new reservations via email.