I’d actually rephrase the question as, “is there any system that can’t be gamed?” i.e. a system immune to corruption? Impervious to bad faith intentions? I suspect the answer is no.
There are the rules as written, and the "rules" as enforced. Can one build a system where the inevitable "rules" that arise are fully aligned with the intent of the system?
Well, I think that's a different thing. Gaming something is AIUI an exploitation of the rules.
What's happening here is plain breaking of rules, which I'd call something like corruption.