I'd say no, not at all. They're far from the same animal.... now some good speakers are also good writers, and vice-versa, but they're not at all correlated, I don't think.
In fact, I've known many a good writer who would panic just thinking about speaking in public. lol... I used to be one... there was a time when I was totally incapable of speaking to people like that. The
thought of doing it would send me into an anxiety attack.
Now, I'm confident (cocky? lol) and can speak in front of people- I like doing it, in fact. I also fancy myself a halfway decent writer.
lol
If you think about famous writers, the list I come up with in my head doesn't stand out as a group of really outgoing people. lol