There can be order without coercive authority. Nobody among my friends has any authority over the others, yet somehow we manage to get together and watch football on Sunday and everybody gets sufficiently drunk and full of pizza. The idea is that if they don't like how something is done, they can go off and do it on their own.
Individuals voluntarily working to a common good doesn't run counter to anarchy. Individuals being forced to contribute to the common good does.