No, the manual cars don't have the Sport button. On the R and S-Tronic gearboxes, it sits right below the shift lever. When pressed, it makes the shifts more aggressive (quicker), turns on rev-matching down-shifting, and also opens the exhaust.
On a manual, your hand/foot speed, along with heel-and-toe skills, are all you get.

But it does raise an interesting question about the exhaust, though - do manual cars not have valved exhausts? How do you manually open/close them?