What does it mean when you are eating with a chopstick and your chopstick broke in half?

There is no hidden message in breaking a chop stick by accident. Like anything else it could be a pure lemon and had a weak spot in it. Chopsticks are very sturdy and seldom break. Even if you didn't know how to use chopsticks (learn to use them because it's not that hard) you'd have to do something very drastic to break it.