My question is a hypothetical: if I were to create a black hole the size of a family house, in New York, is there any way that it can be stopped, or interrupted? If a black hole of this size is formed, will everyone die?
Your black hole is quite massive. It has a mass that is much greater than the mass of the Earth, (about 1000 times the mass of the Earth. And the rest of the Earth isn't moving very fast relative to the black hole. So in a short amount of time everything falls into the black hole. This will be a quite energetic process with a lot of high intensity radiation being given off. But in short "everybody dies" and quite quickly too.
No. Only effect that might reverse the formation of a black hole is Hawking radiation. For Hawking radiation to actually reduce the size of black hole, the temperature of the BH must be less than the temperature of its environment, because otherwise it will absorb more energy from the heat of the environment than it’ll radiate away, and thus become bigger over time even if it doesn’t suck any material in.
For a black hole to be cooler than space around Earth would require a black hole size of just few micrometers, way smaller than your house-sized black hole (which, by the way, is going to be several magnitudes heavier than the whole Earth; Earth, if turned into a BH, would have a radius of about 3 cm or an inch).
Also, even if your black hole was smaller, it would cause some pretty intense radiation while evaporating, which might kill us all - this really depends on the size, but mass tends to have a lot of energy after all.