Recent advances in precision measurements have opened the possibility of probing quantum gravity and bounding modifications of quantum mechanics in tabletop experiments. We have studied the modifications to a quantum optomechanical effect, radiation pressure noise (RPN), due to corrections to the canonical position-momentum commutator that are present in certain proposed quantum gravity theories. We show that high power driven atomic and nano-scale systems, under suitable control, will allow beating currently known bounds by several orders of magnitude. This could provide strong evidence to eliminate or support such modifications of quantum mechanics, and provide new perspectives on such models of quantum gravity.