You can run Diablo 3, but whether or not it's playable, and more importantly, what difficulty you plan to play up to you.
Under boot camp with the newest Nvidia drivers (which are newer than their beta ones), the game is playable at the lowest resolution with all settings on low and all effects off. The experience is terrible, and there are still certain parts of the game (Act 2 sewers, certain parts of Acts 3/4) which are barely playable, if that, but you can get through Normal - Hell difficulty without too much of an issue.
That being said, if you plan on playing hardcore or Inferno difficulty (or worse, both), I personally wouldn't recommend it. You can get through Act 1 Inferno fine, but the inconsistencies of frame rate, and the trouble dealing with certain parts of Acts 2-4 will just make the experience more frustrating than it is enjoyable (this is ignoring the awful game design decisions Blizzard made regarding Inferno).