Can your electricity get shut off if you have children?

It depends on where you live, and whether you need to heat your home,  if you do need to heat your home, and your source of heat is electric, no they cannot shut you off until spring.  If you live in a warm climate, it's up to your electricity provider, I work for manitoba hydro and they can even shut off your electricity in the winter if you have gas heat, they can put a regulator in that only allows enough electricity to keep your blower in the furnace running, but nothing else in the house that needs electricity will work.  If it's summer, it doesn't matter, they can shut you off if you have kids or not.