Yes, it is very possible for someone with Aspergers to develop erotomania. The same could occur with NTs. When a person give signs and signals (which may be to get the other party interested or not) this can happen so easily and quickly develop into limerence, which imho, is basically about having obsessive/intrusive thoughts about wanting to be with a person. Erotomania may be slightly different in this, that the person is usually a person of a higher status or famous, and perhaps older. (for instance, a mayor, a psychiatrist/therapist, or even a movie star that the person has or hasn't met). Also, when I looked up the definition it leaned toward there being a strong desire to want "physical contact" of an intimate matter with them. Perhaps limerance is more of a strong crush along with "feelings of love" which is not returned.
I've had this (and am still going through it). But it is someone I have known for at least 6 years now. We met around 2009, but have had off and on contact with him over the years. We work in the same field/area, so our paths would sometimes intersect, even more so due to his position. It took me over 1.5 year of pushing myself not to contact him via email, phone, or in person...just to get a perspective of how it was not healthy for me to be so invested emotionally into someone that it would never work out with but also to not cheat myself out of finding the right person because of daydreaming about "Mr. Wrong" or rather "Mr. Unavailable." Although I'm still trying to recover from it, am trying to think of him less because it hurts.
Do you mind sharing more about your own situation? If so, maybe me or someone else on here could help further by knowing a few details. Such as what are your personal interactions like...if any? What type of signals did she seem to give?
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Your Aspie score: 154 of 200
Your neurotypical (non-autistic) score: 56 of 200
You are very likely an Aspie
AQ Test Score: 37