Is it possible to freeze an object, say an apple, and then drop it so that is will break apart into pieces? And if so, how can it be achieved?
Yes, that is possible. The usual way to cool down object to this temperature, is by putting it in liquid nitrogen. For an example, consider this movie, where it is done with a tulip. The water inside the object is freezing, which makes it breakable (as you can break ice, but not water).