In astrology, one principle that is accepted is interconnectedness. Every star, galaxy, piece of dust, and germ is somehow, someway, connected to you. It's the large bodies (planets, stars, moons, asteroids, etc) in your vicinity (right now, earth) that can be used to interpret the energies at the time. So yes, if you changed your location in the solar system or went outside it altogether, things would begin changing.
I imagine within the solar system (say, if a human is born on Mars in a space colony), the signs would remain the same, but I don't know how far outside the solar system that would hold true. But that's just a guess, and purely speculative.
In the end, nothing's going to substitute for research, so we're gonna have to go to these other places, observe for many years, and then we'll have a better idea.