“Stochastic chaos” is really not a good way to put it. By using the word “stochastic” you prime the reader that you’re saying something technical, then the word “chaos” creates confusion, since chaos, by definition, is deterministic. I know they mean chaos in they lay sense, but then don’t use the word “stochastic”, just say "random".
The word "stochastic" in relation to chaos is a thing though. It helps distinguish between closed and open systems.
I have a feeling OP used the phrase as a nod to "stochastic terrorism", which would make sense in this instance.