Well, basically answering the title of this thread, yes. Yes, it does.
I share the same goal as gogetter. I am also using LOA to attract a certain person. I could well say he is famous enough to be called a celebrity. He is well known in Asia as well as in the US. Most of the people think that this seems delusional but I guess they just have to wait and see until I prove them wrong.
In my own experience, I cannot pinpoint exactly what made me attracted to him. Up until now, I don't know the very reason. However, I always felt that confidence and security when it comes to him. I've tried to deny this feeling several times (It took me a month to accept) but it always comes back, intensified. The signs always favored him and I, and I myself noticed that my thoughts were centered around him. I accepted so, and it feels very good.
It started 5 months ago (inclusive of the 1 month denial period). Ever since then, I've been feeling good about everything in my life -- myself, my loved-ones, and all the circumstances happening around me. It's like I'm connected to him in someway that only God, he, and I know. I don't think it's silly or crazy. Also, I don't care about the time, the distance, the how, etc. I'm focusing on what I want and that's it.

Call me optimistic or something, but I do believe it will be, it can be, and it is accomplished. To simplify it, we are all humans, made of the same thing and material. What could be so hard if that's the case?