Possible to change SIM card PUK on Android device?

On my Samsung Galaxy SIII, one can go to Settings -> More -> Security -> SIM card lock -> Set up SIM card lock -> Change SIM PIN to change the default PIN that came with the SIM card. But what about the PUK (the 8-digit number that comes with the SIM card to unlock the card after 3 failed 4-digit PIN number attempts)? Can the PUK also be changed from within the Android GUI, or is it a fixed number stored on the SIM card which cannot be changed? Thanks.