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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.
The g-force (with g from gravitational) is a measurement of the type of acceleration that causes a perception of weight. Despite the name, it is incorrect to consider g-force a fundamental force, as g-force (lower case character) is a type of acceleration that can be measured with an accelerometer.