Honnestly, it may be a bit too much. How about doing an early breakfast at Tuskerhouse, maybe a CS or Yak and Yeti for lunch, and end the day with a dinner at Sanna or Jiko? It will probably take about 15 minutes from AKL to AK, but that is if the bus is waiting for you. If your lunch takes about an hour, you may add up to two hours in travel time. It's doable, but a lot of back and forth.
Are you staying at AKL? If you are, I can so see doing it, but if you are not, then I wouldn't. You are going to have to take a bus from your resort to a park, and then transfer to AKL. You will have to do the same thing to get back to resort after eating a Jiko at night.