if your phone can't turn on, you can't retrieve the data. everything's stored on the phone's memory and has nothing to do with your sim card. unless you can turn it on, you're out of luck...
is your phone jailbroken? if so, hopefully ssh is installed and turned on, and by change your phone comes back to life, you can retrieve it from there, depending on your firmware:
1.1.2 or below: private/var/root/Media/DCIM
1.1.3 or above: private/var/mobile/Media/DCIM
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