Aspies can become anything, it's up to the individual and their abilities - not the diagnosis.
However, stockbrokers are less important nowadays since most trading is done by large computers with extremely low latency, sometimes trading companies move physically to decrease the distance to the stock exchange to get lower latency. That does not mean that there aren't daytraders that can sit and watch what these computers do and make a buck of the effects of them buying loads of stock and dumping them a few milliseconds later.
If you have an analytical mind, go for it - or something similar.
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"It is far better to grasp the Universe as it really is than to persist in delusion, however satisfying and reassuring" (Carl Sagan)