VIP is short for very important person. It is a common line note below an ordered item on a ticket or dupe received by the kitchen from the front of house. It indicates that the individual, or the entire table, for one reason or another is a very important person, and great care should be taken with the preparation of their food. It is an alternate, and probably preferred way of saying soigné, French for "cared for".
If a ticket is marked VIP, it does not mean that the chef wants you to give them extra protein or truffles or anything out of ordinary for that particular pick up. It does mean that you should care for the plating - spend a few extra seconds making sure that it's tight. That it's cooked to be best of your abilities, that your garnishes are positioned correctly, and that your flavors are perfectly balanced, and that your plate is hot or cold as it should be.