This may be a bit farther out than you were seeking, but I direct you to Pyura Chilensis
This is not a plant, but it is feasible that a more plant-like organism could similarly form a hard rock-like shell from mineral debris in its environment.
This is a filter feeder that looks like a chunk of rock with internal organs; I cannot easily find information on the hardness / composition of that shell, but it looks to be potentially similar to that of oysters or barnacles.