I have met with four VCs/early stage investors in NYC just by responding to blog posts or e-mailing in to contact me posts. I have obviously e-mailed and attempted to contact much more than four, but if you want to meet people the best way to do it is connect with them in a non-generic way via their blog, office hours, whatever means they prefer.
It's obviously not incredibly easy, but every investor knows the importance of dealflow, and it's getting harder to pre-screen for early stage deals (except using YC), so if you are persistent enough I think you can definitely get in front of the right people.
Well, sure if you go in with the pitch that you are, in fact, a nobody, then I'd certainly be less interested. Who wants to talk to someone who isn't confident that what they're doing with their time is awesome? Tell me why you're awesome... and if you're in and around NYC, I'd be happy to make some time.
Alas, I am in the Triangle area of NC, but I'd be happy to chat via skype!
Also, NC is sadly outside the seed stage bubble. If you have traction, you may get a meeting, but then you won't need it.