Hello,
good question.
I would say in principle it is possible from a modelling point of view.
You could assign different grain sizes for the the core zone of the dam and also apply a varying grain size distribution along the vertical, e.g. to model an armoured layer at the dam surface.
However at least our experience here is that even by 2D modelling of "simple" homogeneous embankments the predicitve capability regarding the breach hydrograph as a main result is very limited. You have to deal with a lot of uncertainties and influential parameters like transport formula, slope effect formula, various empirical constants and many more.
So, if it is a reasearch question for you and you have time! it would be interesting to set up such a case. Actually in the last years the relevant hydraulic journals are full with these types of problems, dealing mainly with homogeneous embankment failures.
For engineering purposes I would use one of the many semiempirical formulations or models available.
Hope this helps,
Clemens