Yes, it is possible to go all the way to the summit or meet folks up there. For obvious reasons, it is not recommended.
The main thing is that you should not depend on having somebody at the top waiting for you with a bunch of gear; they could be late due to tourist, weather, scenery, etc. Going to the top is going to add 10+ minutes and you'll need to wade through a ton of folks who will take you for a very confused runner and try to turn you around. Just tell them that you really want a donut to help fuel your run back down. :-)