Not at the moment, but it's being worked on, and it's called "Smart Grid".
The most important difference between Smart Grid and lack of net neutrality is that with Smart grid it's the customer who owns the appliance that gets paid (or refunded) if power isn't available for the appliance. The idea is that you'll be able to plug in your electric car in the evening, and the car will then negotiate for power, so that it is fully charged, at latest the next morning. It's a win for the costumer and the electricity company, unlike lack of net neutrality.
QoS for networks could perhaps learn something from the ideas being worked on in Smart Grid - I wouldn't mind being paid for allowing the internet provider to provide worse services for some packages.