Just because something is inherently probabilistic (i.e. “uncertain”) does not stop it from being quantified. Quantum Theory as a whole is all about quantifying uncertainty. Computing and analyzing various probabilities and how they interact.
The most powerful computers and brightest scientists, from what we know of Quantum Mechanics, which is our best model of reality so far, could never be enough to determine what will happen. But these methods can, and do, describe and quantify what can happen. They accurately describe the proportions in which events occur. This is most likely the best we will ever get, and is embedded into the mathematics of our contemporary models for reality.
Now we are getting in the realm of my opinion, but nothing is beyond being measured and quantified. If we discover something that is, all we have to do is observe its effects for long enough to develop a model for it. It then becomes a part of what we know how to measure and quantify. Science has been like this since forever, and is not likely to change any soon.