Well, that all depends on what you mean by search passively.
First, what is ruling it out completely? Take an analogy to atheism, and I am an atheist. I call myself an atheist because, like Richard Dawkins, I believe it more clearly states for people what I think on the subject than agnostic. Science cannot ever disprove anything, not just God, but also unicorns, fairies, elves, Thor, Zeus, Ra, Russell's Teapot, or The Flying Spaghetti Monster. So if you say you're agnostic, are you giving greater precedence to God of Abraham than you are those other things? Most people when they hear agnostic seem to assume you are. Were they to realize that you are giving equal precedence to possibilities of orbiting teapots in space and pasta-based deities, they'd probably say something like, "Well, just call yourself an atheist then!" So I do.
Similarly, when I say that I am open to the possibility that I may someday be in a relationship, I am equally open to the idea that I may one day develop godlike superpowers or suddenly come into a 50 billion dollar fortune. My hopes increase slightly with me liking what I'm learning about female aspies, but only slightly.
Searching passively, in my case, would mean that I am taking no pains whatsoever to get into a human relationship. Added to reclusiveness, it becomes even more greatly improbable that I will ever be in a relationship. That said, I am passively searching in the sense that if the circumstances to form a relationship happen to fall into my lap without me ever lifting a finger to make that likely, then it happens and I won't actively resist it if it does.
It seems unlikely this is what you mean by searching passively.
-Frank