Totally, it is really always loose and can be moved. The only thing stabilizing it is a long cord that runs through the setback, up the back of seat, and utilizing the child carseat latch. So just like a belt that holds the carseat in place, it holds the rear console in place. I guess to uninstall it you would just undo that latch from the rear seats, and pull it out, takes about 1 minute.
You could read the installation guide online to get an idea of this or the picture on the shopping site shows it.
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