You need to be careful to tell the difference between "nothing" and "empty space", as discussed at length in my answer here.
That is, I believe you are asking "can one create empty space" by your proposed method. In creating empty space, you are actually creating a good deal more than "nothing". Empty space is simply what we get when the quantum fields that make up our World are all in their ground state. That is, if you travel to deep, interstellar space where there are no atoms, no "particles" (i.e. none of the quantum oscillators making up the region are in anything but their ground state), the quantum oscillators are still present (I hesitate to say "there", because the concept of their localisation is complicated). These ground state quantum oscillators are what give the empty space its properties: it can be curved, for instance, in response to far off "matter/energy" following the Einstein field equations, and so can have quite different geometrical properties from flat space uninfluenced by gravity. The logical concept of "nothing" cannot be associated with any properties, otherwise, by definition, it would be "something", which is true of empty space.
As far as contemporary physics knows, one cannot create empty space.