Yes, but you need to stop at some point.
Everyone is unique, the whole idea of typologies is finding patterns. And looking at different aspects of personality, we can get different number of types, even. I suppose tcaud is well beyond 256 types now, but what chance does he have of getting to know at least one person of every type? JohnDo was at 256 last time I've heard. I think it becomes nitpicking without any use at some point; socionics only goes so far. There is information processing, probably adequately dealt with by socionics, and ways our personality has been formed, for example described by Enneagram, different "styles" related to career or whatever, etc.
Oh wait, you have tritype with wings in your sig. I suppose I shouldn't spoil your fun playing with blocks.
