Answer :

No you can't because crossing you will need to obit only by water
AL2006
There are at least 50 reasons why you can't.

The only other detail I want to mention just now is that China is NOT
directly opposite the US.  An area in the Indian Ocean is. 
So if you were digging to China, you would have to go off at a skew,
NOT through the center of the Earth.

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