Not absolutely. If I were to go by myself, I'd say there are fluctuations at any moment, but little change at the base. If I am around disordered people and places, I go into "sort this out and get this done" mode, which seems J-ish. By anal-retentive, bossy people? tune out and drift into laid-back P-ville. By extroverts? Go quiet. By introverts? play the extrovert to get people talking.
Yet it almost always come back, when all is settled and there are no major external interferences, to an INTP equilibrium point. The question is then what happens when subjected over a long period to a major external stressor. Do you then become the type you are acting over years-time? I think some mistype themselves because of their adaptive mechanisms, but then it is arguable whether this is really "mistyping".