} Ah, now - there's a question. In theory, all things are possible.
} Reality, however, is often, sadly, a totally different matter....
} If you recall the tome "Journey to the Centre of the Earth", by Jules
} Verne, you may remember that his adventurers sought a route into this
} oblate sphere we call Earth. As I recall, they didn't exactly go so
} far as to pass through the centroid and come out the other side, but
} sort of made a tangential exit somewhere in the Mediterranean. I also
} believe that they used an existing route to achieve their aim, not
} actually, as it were, "digging" their way from their origin to their
} point of emergence.
} Now, with regard to your question, I would guess it'd be possible if
} one were conveniently close to China to dig a hole that eventually
} emerged in China, but the problem there is that, technically, a hole
} that goes from point A to emerge at point B, point B being some spot on
} the other side of the hole, is defined as a "tunnel", as there is a
} hole at both ends.
} Therefore we need to work at what, exactly, constitutes a hole? If one
} takes an infinitely thin layer, say, for the sake of argument, a sheet
} of paper, then it is physically impossible to dig a hole in the paper
} that does not emerge on the opposite side of the paper. One would not
} say that the hole, in this case, constituted a "tunnel".
} If we extend this principle to an infinite number of layers, and
} therefore an infinite number of holes, we begin to approximate the
} situation which you wish to achieve (the Earth being infinitely thinner
} than an infinite number of sheets of paper), but with one important
} difference: There is a multiplicity of holes, not "a" hole.
} It would seem that it is theoretically possible to dig a tunnel to
} China, or to dig a large number of successive holes with China at the
} opposite side of the last layer in which you've just dug a hole.
} Perhaps it would be better to readdress the question: "Is it possible
} to dig a hole to China?" Certainly, if the starting point of our
} multiplicity of holes were within China, then it is possible, assuming
} China to be on a layer somewhat thicker than a piece of paper, to dig a
} hole "in" China that would not emerge anywhere other than the point at
} which it was dug.
} The corollary of this is, that given the thickness of the layer upon
} which China sits (for the sake of argument, let's call this layer
} "Earth"), and not wishing to dig a "tunnel", then we must make point B
} be China and point A a point somewhere within the layer we have called
} Earth. The reality of this inference is that one would have to be
} embedded in the earth and dig a hole out, such that when seen from the
} side called "China", the hole truly appears as a "hole" and not a
} Therefore we conclude that it is possible to either "Dig a hole in
} China" or "Dig a tunnel to China", but in order to "Dig a hole to
} China", one would have to be at a point somewhere within the Earth.
} Unfortunately, anyone in this position would, under normal
} circumstances, be "dead", and therefore in no fit condition to dig,
} Ipso, the answer to your question is "No".
} You owe the Oracle a return air-ticket to Peking and a lateral thought.