Can you jump start your car with electric cord from your house?

NO!!!!!! You'll blow the battery up. That is a very dangerous idea.

The current of a battery and the current from an electrical socket from your home is entirely different and are not interchangeable without a converter. It would be very dangerous to try to hook up a vehicle battery to any electrical outlet without the proper converter, such as a battery charger that is designed to convert the currents.

A DIFFERING OPINIONIn theory if you used another battery and two cords this might be possible, The problem is the extension cord will not carry enough power safely.

It will quite possibly turn red hot and catch fire.