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Can I file a lawsuit against a company that repeatedly rejects me?

Context: I've been working as an IT specialist for > 15 years (some years full time in the office and last few years as a freelancer) and have a higher education degree in IT. I have Asperger's and comorbidities of a bipolar and anxiety disorders.
I had job several interviews in a US company (I'm not a citizen of US, but they knew that and the job was supposed to come with H1B visa), and they repeatedly rejected me for no apparent reason (for at least 3 times).

Q: Is it possible to file a lawsuit against them for job discrimination?