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Probably limited a small bit by structural strength, i.e. more acceleration means a stronger and heavier structure. For manned rockets, the G forces are even lower to accomodate the astronauts. So I'm assuming that even lower accelerations are only possible if you trade off fuel efficiency.
G-Force is Gravity Force or simply the force due to gravity. Note that one G is only equal to 9.8 m/s^2 on Earth since the gravitational constant changes depending on where in the universe you're at (e.g. on another planet).