What do you have in mind that you would like Princess to offer? You could probably arrange to reserve an area for a gathering. Otherwise, princess would not have a clue about what you want.
In order to participate in the Chef's Table, upon boarding, immediately contact the Dine Line, Passenger Services, or a Dining Room Manager to be placed on the Wait List. They will contact you if you are able to participate.
We enjoyed the Crown Grill when on the Emerald in May 2022.