Can an electric and/or gas company turn off your service if there are children in the home?

Question Details:

Monies due - $3,000+ ; Monies paid-  $1,000+ . Service off since 04/13; 3 children under age 7.  No fresh food/milk, etc, due to fridge not running; no heat. Utility company refuses to turn on service even with payment towards total and it will not make payment plan with service; it requires bill paid in full before return of service. Any advice or law for protection? Important Notice