Not at all. A is A is shorthand for a thing is what it is. A is A applies to anything which can be identified and comprehended by means of a concept, an entity, an event, a relationship, or even another concept. A is A in no way implies there is no change.
Change does not mean change from one thing into another. Your precious quarks, do they not move. A quark is a qaurk, but it changes position.
Hank
But if we accept "dynamism" as an axiom, then you have no way to know what A is at any given time. For it to be an objective truth, you have to assume that it remains unchanged. If its properties changed due to dynamism -- well, then, the idea that A is an objective truth is no longer true -- what was true at one instant may not be true the next.
Thus, even "A is A" requires you to make non-objective assumptions about the nature of any A you happen to be considering.