You may be able to get a meeting just by asking, but it is not likely. However, when you have something to offer, getting the meeting is much easier. Secondly, if you make it clear that you will only take 5 minutes of his or her time, you may be more successful.
I speak to a lot of high profile people through LinkedIn. If you start by asking if you can write an article about them on your blog or to be posted on LinkedIn they will usually agree to that. By getting your foot in the door and giving you are actually using the marketing tactic of reciprocity. People are willing to give to people who give something to them first.

Don't Stop and Take Massive Action.
Regards,
Michael T. Irvin
www.michaelirvin.net
My books are now available on Amazon.com by searching for books by Michael T. Irvin