Sure there is. The interior of corporations have non-government-enforced order.

Of course there is. Taliban, Hezbollah, Mafia, etc originate as nongovernmental entities enforcing order.

I suppose it depends on how you define "lack of order." Nature abhors a vacuum. When there is no government imposed order the "lack of order" is the ascendency of entities like the Taliban, Somalian warlords, etc. To me this a "lack of order."

The Taliban was a government, and functions as a government in the areas in controls.

Hezbollah has pratically all of the characteristics of a government in the area of Lebanon it controls. Also, it's also the most powerful political party in Lebanon.

How do you define "nongovernmental"? I think an argument could be made that each of those are/where governments, although perhaps a little alien seeming to us.