This is quite possible in most context. You have reprogrammable memory, and so we see existing technology can easily store a value and control how that value is to be used.
Software or hardware both can independently accomplish this.
Asking if these concepts can be bypassed is simply too broad of a question. There simply is no general principle which describes such a thing. Hardware or software implementation is what distinguishes the answer here, and how such a thing would work. It has nearly nothing to do with a central concept of tamper proof information, and everything to do with the implementation.
I know this isn't what you want to hear, but come on folks you got to get serious. Put the work in.
One thing that helps in actually getting an answer is to clearly define the question. Like what does tampering mean, on a critical thinking level. Maybe we can have a spatial coordinate and time, a boundary, and integer represented in some finitely definable way, contained in a bounded volume. The question then, is there a way to detect if that integer exists elsewhere as an effect of the original, or as a consequence. Was their a physical process that led to some other definable representation of that integer.
But now the question is getting closer to being a solvable question, with a clear, correct discernable answer.