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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.
Physiological Effects ofHigh G Forces Human beings are adapted for life at 1 G on the surface of the earth. In the aviation environment, any maneuver has the potential to expose the human body to more than 1+ Gz of acceleration force. This can be particularly hazardous for pilots in the Gz axis.