That's a 'kicker', which is a different role from the 'punter'.
The kicker kicks off at the start of the possession and attempts any field goal or extra point conversions. The kick offs are returned down the field by the opposing team, so the kicker will some tackling ability.
The punter kicks the ball away at the end of a failed possession. The punts are also returned down the field by the opposition (unless they are punted out of bounds), so the punter will need to be able to lay some tackles as well.