I believe it can fly
Elon Musk released a new message “The new Roadster will actually do something like this” with an attached animation of a futuristic (“Back To The Future”) vehicle with some kind of rocket boosters (who needs wheels these days anyway?).
It seems that the Rocket Boosters package, hinted at earlier this year, is really coming – at least we should expect some sort of prototype with this thruster package. Whether the rockets will be for acceleration / turning only, or to rise from the ground is an open question that Musk answered in an additional tweet.