It's definitely possible! My ex had something similar (non-verbal learning disability) and we continue to be romantic partners and close friends. Like me, he would tend to become obsessive and "stuck" on certian things, but this was a trait of his that I was willing to let go and not take offense to. I guess it all depends on personal compatibility and willingness to negotiate (which could be tricky for some aspies as they are used to their ways of being): as well as seeing the person involved as a whole person rather than as primarily a person with a disability.
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Given a “tentative” diagnosis as a child as I needed services at school for what was later correctly discovered to be a major anxiety disorder.
This misdiagnosis caused me significant stress, which lessened upon finding out the truth about myself from my current and past long-term therapists - that I am an anxious and highly sensitive person but do not have an autism spectrum disorder.
My diagnoses - social anxiety disorder and obsessive-compulsive disorder.
I’m no longer involved with the ASD world.