Not really.
It's not just about te big personalities, it's mainly about ho you've worked with ad who you know. I'm nowhere ear a type A personality but I have a great network. My wife is a consultant and has contacts pretty much everywhere n the Dallas area. If she likes you, as in you cando your job, she will find you a job.
The key thing here is you have to be actually good at your job in order to really take advantage of the networking.