If the cover is on it, I would think it would be ok. I'm not quite sure what you have, but our pleasure boat has a bimini top. We do keep it folded up in the storage area near the motor. However, it does have a cover that could be put on it and leave it in place on the boat, folded.
Unfolded, it would surely tear it up.
As long as the connections are secure where they wouldnt' wiggle loose with vibration, I'd go with it.