No.
Sorry, I'm not going to contribute to this 'if you believe you can do it it will happen' sensationalist bullshit. You cannot become a billionaire from internet marketing only.
Latest statistics put the number of global internet users at approximately 2.4 billion. Let's say theoretically you could get every single internet user in the planet to go to your website. Even if your conversion rates were decent enough for you to be getting a $0.4 EPC (bear in mind, over a billion of those users are from Asian markets, good luck monetizing that!), and even if your total overhead costs were...$0.00...you'd still only just reach $1billion USD.
Oh, and that's excluding the massive amount of taxes you'd be paying on that amount too.
So no, sorry, it's not possible to become a billionaire by IM only, anyone that disagrees with me, feel free to show me some maths that says otherwise. A millionaire, definitely, I know several. A multi-millionaire, sure. But a billionaire? No chance.
EDIT: This is discounting things like 'Facebook', 'Twitter', 'Instagram' etc - this is not internet marketing. This is product development. Internet marketing is to product development as formula 1 racing is to car mechanics.