Your account maybe, but what about all those traders, FDA, SEC or FED people? Or NGO's? Majors?

I think if you really try even your account could move a stock. Think about it: A tweet with location (in front of a big company's CEO's house) early in the morning when you know the 'target' is commuting, flying or otherwise offline, followed by a tweet 'just killed the bastard' with a fake photoshopped picture of a body'. If someone was to target a person with a love of guns on their timeline... well things could get messy real quick.