I've owned a pot belly and I agree with bargain. Mine was even a potty trained house pig.
Pigs are smart. Pigs are also almost completely food motivated. They will eat anything that might be thought of as food. Your chickens are no exception, or the eggs. Although the pig probably wouldn't bother them as long as they are healthy, I'm not so sure the chickens would survive if they got a wound. You can not teach a pig to resist the urge to eat. The food and water would have to be separate anyway.
Learn as much as you can about caring for your pot belly! There's a lot I didn't know. You'll have to trim their hooves, protect their delicate skin, provide a diet so they don't get too big, consider having the eye teeth removed to prevent your legs, as well as pets from getting slashed open once the pig is older, and provide a pig safe environment.
I miss my Rosie, but she was a lot of work! Pigs are social creatures and don't like being alone. When they are alone they get into trouble easier because they are bored. Train as much as you can while its little because they are stubborn as adults, not to mention solid and heavy bundles of muscle.
Enjoy your pot belly. Oh, and post some pics!