I'm not exactly sure if it would. It should as these are not components that are essential for the phone to function properly.
Give it a shot, the worst that can happen is that it doesn't work and you have to put them back.
That is a stupid rule, I dont know where you work, but unless your in area 51 that rule really doesn't make much sense.
The guide isnt for your phone, but it should give you a good idea of what you can do.
Samsung Galaxy Core Main and Front Cameras Replacement
You could also put some electrical tape over the camera, which would be very easy and reversable but im not sure if that would fly where you work.
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