Work trip- can my Sun Coral and others do without feeding?

I'm going on a work trip for 10 to 14 days. It will be hard enough to get my wife to feed my fish, change my filter socks, and empty the skimmer while taking care of three kids ages 4 and under. I already know a water change is out of the question.



I normally direct feed my sun coral every 3 days and add add some coral food to the water once or twice a week.



Will my sun coral be okay without food for that long?