Can I use the API for posting any question to Stack Overflow? I have a internal SharePoint site and whenever anybody has got any technical question they post it here. I want to post it automatically to Stack Overflow so that it can be addressed by a larger audience.
No, you can't post anything (Question, Answers, Comments, Votes) from the API yet. It's been implied (but not promised) that write access will be available in version 2.0.