No, because human personalities don’t fit neatly into boxes and because we currently know very little about our own psychology. And putting people into boxes can be very destructive.
Even something like introversion/extraversion, which we have strong evidence and measures for, is a continuous scale rather than a binary, with most people landing somewhere near the middle.
Most personality measurement systems (such as the MBTI) are pseudoscience; and we know this because the same person will not reliably get consistent results when testing again a few weeks after an initial test.
Sure, if we knew a lot more about psychology than we currently do, you could probably come up with a way to place a person’s personality in a continuous N-dimensional space, where N > 1000... but what good would that do you?
But anyway, that’s not the part of your message that’s most interesting. What about you do you think needs “fixing”; and how would such a theory help you?