Yes.
A special interest is an intensity of focus. It can be a subject, a person, an object or collection of objects, a book, a game, a shape, just about anything.
What happens is, there is an initial curiosity, followed by the desire to learn more. Which grows into the desire to learn everything and fully understand it.
When a topic becomes a special interest, you'll study it, read everything on the internet, enjoy talking about it. I have this with cellular biology.
When an object becomes a special interest, you'll collect it, notice them, seek them out. I have this with pens and old, gilded books.
When a person becomes a special interest, you'll think about them a lot, enjoy interacting with them, want to know everything about them... want to be them...
As mentioned in the above posts, the person category of special interests needs to be handled with care. Being interested in something is refreshing to us, special. We often don't see anything unusual about curiosity. But bizarrely, neurotypicals don't have this level of curiosity or focus of intensity. To have someone give their FULL attention, specifically an aspie, is unnerving and uncomfortable.
To get through it with a friendship in tact, simply acknowledge that they are a person, not an object. Learn to pick up on their cues, if you go too far (which you probably will), step back into small talk.
Pace yourself just as you would with an addiction, don't indulge every time you want to talk to them, contact them, hang around places you know she will be, rummage through her desk drawers, stalk her online, touch her clothes, follow her from a distance... Errr hypothetically if course...