Assuming an egg is defined as a chicken's egg:
An egg is the means by which a chicken creates another chicken. God doesn't need to make an egg to make a chicken; he can just make a chicken. The egg would just be a waste. So, the chicken came before the egg.
or
At some time, something very similar to a chicken laid an egg which hatched a chicken. The egg was not a chicken's egg, since it didn't come from a chicken; so the chicken came first.
This is the kind of thing I think about late at night.










