Wow, you want just the opposite of what many users want hehe Unfortunately, no... The camera shutter sound 'counts' as a system sound, so if you have your phone set to vibrate or silent mode, all system sounds are muted, camera shutter included.
You can, however, activate the 'preview' option in the settings, allowing you to see the picture you just snapped on screen instead of just continuing to use the camera as the default mode. You don't get the shutter sound, but at least you know when the picture was taken and you get to review it and see if you like it.