Does osmosis have a limit?

Is there a cap on the extent to which osmosis can occur? It's a fascinating process where the diffusion of solutes across a semi-permeable membrane drives the movement of solvent, often resulting in the equalization of concentrations on both sides. But could there be a point where this process simply can't go any further? Could external factors, such as pressure differences or the nature of the membrane itself, impose a limit on the extent of osmosis? Or is the process fundamentally unlimited, constrained only by the physical laws of the universe?