Haha, yeah this is missing a taps head meme. But we don't even need multiple time dimensions for free will to exist! I've heard more than one physicist argue that quantum uncertainty alone is enough to get us free will.
I'd argue that a certain randomness of choice could indeed increase freedom of action, though it doesn't grant "free will" in the common sense. There's no need for quantum physics in this, though. A deterministic rand() will do just fine.