Is there anyway to draw the drive to either side?
Nop !! Generally speaking - If you hit it right it goes right. If you hit it left it goes left.
The only way to shape your shots is to use the wind, especially if they are moderate to strong.
Cheers
I use the Ping driver and you can hit a draw fairly easily by releasing the club left of center. For fun, you can aim way right and drop it right in the middle of the fairway.
I dont think I am good enough on the mouse button to do that.