A set of determined rules can lead to unpredictable behavior. Simple order can create chaos; for example, consider the chaotic pendulum. Interestingly, this works the other way around, too.

So, I’d prefer to look at it in terms of probability. Influencing some aspects to some degree, sometimes—yes, that’s possible. However, I’m not sure if this constitutes being "in charge."

Plus, if the set of rules is an emergent property of the system of interest, then the question becomes whether it is determined. Can it even be determined? By what?