One might clear up the definition of falling here. Einstein pointed out that we are simply moving in straight lines through spacetime, which is curved by mass, so technically we are all falling (well, through the time-dimension).
We would not be able to feel earth's gravity, if there was not this huge object (the ground) stopping us.
So there might be points in space with zero-gravity (something equivalent to the lagrange-points, but with all stars and planets etc. combined), but one would not be able to measure it. The only thing that one can measure is the difference between your acceleration and the gravitational pull, which is zero when there is nothing stopping you.