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Try this with a metal spoon. If you bring in your right hand, it will be on the left side, but extremely distorted.

I'm guessing that the only way you could touch the mirror image of your finger is by doing so in the middle of the mirror. If you move the finger out toward the shoulder, I'm betting your arm would stretch off the mirror away from your body. I could be totally wrong though.

Look at the cover of the book that the trick mirror is resting on.

It seems this mirror is especially shaped to project the ordinarily reflected image in a reversed way, thus putting an object near it surface will break the illusion and show skewed but normally reflected image.

Which seems to be what is going on with the book cover, in the picture in TFA.

It should be easy enough to simulate with a webcam.