No, you can play it just fine with a controller if you'd rather. This game works with a side-to-side swing as you face the TV, so you probably won't have to clear as much room for Tiger compared to other Kinect games that make you move around the room.

(Also--there's Tiger 13, with Tiger on the cover--that one DOES include the Masters event and Augusta course. There's a Masters collector's edition for $10 more that has extra courses and "inside Augusta" content.)