I'm open to other opinions, especially His, but at first thought, I don't think so. He really is the Great Communicator and, now, wouldn't need to blog. I think He is quite good at communicating supernaturally.
Back then, I don't think so because He didn't come to the Gentile world.
Since no one is answering, here's an incentive. Answer the Jesus Blog question and get a chance to win a $5 gift certificate from P and P Homemades on Etsy. (If there is any really bad stuff in your answer I won't publish it.)