I doubt it. MBTI is not your whole personality, only the way you perceive information and make decisions. And even that way, MBTI is not a complete description of that way, it only describes your natural tendencies towards abstract information (N) or concrete information (S) with a greater emphasis on truth (T) or value (F) while having either an introverted (I) or extroverted (E) attitude and being labeled judger (J) or perceiver (P) depending on whether your first function with an extroverted attitude is of judging or perceiving. So even MBTI, is very narrow when it comes to human character.
I suppose you can find people with a similar character, it's very rare, but you can find them. But the exact same character? I don't think that's possible. There are just way too many details into what makes a human a human for that to ever be possible. Eventually, you will find differences, even if small. The good thing is that we don't have to have all the same character, we all have different characters and that's great, that's okay. As long as people are decent, we don't need to be the exact same copy-paste of each other, we can have different but good characters. But society is made up of all kinds of people, good and bad, it's how it works. We are all different both in terms of morality and personality, which I think is a blessing, imagine how boring it would be otherwise, if humans were like bees. It's also this difference that allows us to find progress.
