No it fits on the same flywheel.
The e90 330i flywheel is the same partnumber, but that also uses a 240mm clutch.
So if you see at mister auto (or similar parts suppliers) a compatible clutch for your car but that is 240mm, it will fit.
At misterauto, both the luk and the sachs clutch they offer for your car seem to be 240mm (or so they say):
http://www.mister-auto.co.uk/en/clutch-kit/bmw-z4-coupe-e86-3-0-si-265hp_v19300_g479.html
Dont forget to also replace the clutch release bearing.
For mounting the clutch you need a special tool to center the clutch plate as the SAC pressure group has a special retainer in the center, so you cant use a normal stick type generic center tool.