That depends; it could be either redundant or contradictory. If I understand it correctly, "stochastic" only means that it's governed by a probability distribution but not which kind and there are lots of different kinds: https://en.wikipedia.org/wiki/List_of_probability_distributi... . It's redundant for a continuous uniform distribution where all outcomes are equally probable but for other distributions with varying levels of predictability, "stochastic chaos" gets more and more contradictory.

Not at all. It's an oxymoron like 'jumbo shrimp': chaos isn't deterministic but is very predictable on a larger conceptual level, following consistent rules even as a simple mathematical model. Chaos is hugely responsive to its internal energy state and can simplify into regularity if energy subsides, or break into wildly unpredictable forms that still maintain regularities. Think Jupiter's 'great red spot', or our climate.