To be noncompliant is to be defiant and resistant to authority.
When someone is compliant, they go along with what others — especially people in authority — want them to do. When someone is noncompliant, they resist authority. A child refusing to do homework or chores is being noncompliant. A citizen ignoring a police officer's request is being noncompliant. An actor telling a director to get lost is being noncompliant. Sometimes it’s good to be noncompliant, like when Rosa Parks refused to move to the back of the bus.