yes. just don't talk to the jarl of whiterun at all and you'll enjoy a dragon free game.
You can talk to him and you can go to Bleak Falls Barrow and get the Dragonstone for Farengar (although I wait to give it to him) when you are there getting the Golden Claw for Lucan, just don't go out to the tower in Whiterun and fight the first dragon.
And you'll also have a Fus Ro Dah free game ...
Ya, there's this. After awhile I miss my shouts and go start the MQ to get dragons into the world so I can unlock the shouts. They are very useful against shouty draugr.