It depends on your orientation to the Earth, and your velocity. The Moon doesn't fall because its tangential velocity is equal to the rate at which it falls towards Earth. If it slowed down, it would fall towards Earth, rather than around it.
If you have zero velocity relative to Earth, then I would guess that it depends how close you are to another gravity source. In a hypothetical universe containing just the Earth, there is no distance you can go to escape the Earth's gravity, so you will fall from light years away, assuming zero relative velocity. In the real universe, it depends on what the locally dominant gravity source is.
Originally Posted by wufwugy
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