Absolute absence of a gravitational field in a region of space is plainly impossible, since in the universe there's at least one particle with mass which generates an infinite-reaching field (and in fact, there's obviously a lot of stuff out there, from planets to stars to galactic filaments). The gravitational force is the weakest of the fundamental interactions of Nature, and as the electromagnetic force, it has an infinite range; but unlike the latter, there's no "negative mass" equivalent which can "neutralize" the field far away from the interacting bodies.
That's why, among other things, that there's no macroscopic manifestation of the astronomically strong electric field that would be generated if all the elementary charges of electrons and protons, which compose every atom in any everyday object, were turned apart and separated. On the other hand, the gravitational force shapes the entire universe at the cosmological scale, and the electromagnetic interaction has no significant effect on large (neutral) objects like planets and stars.