Certainly should be possible .. ( btw Louis Rossman does numerous videos on board level repairs, if you are near him iirc see if he has some workshops )
For most of us, we don't have good setups for board level repairs and often more affordable to purchase used or new instead.
If you do go with this project, please do share your images and results ..
I'd wager it isn't the actual LEDs that failed. More likely a component involved in powering / controlling them (capacitor, resistor, fuse, transistor, voltage regulator, photocell, etc)
Have fun tearing in to it, but know that if your able to fix it you'll be spending several times the value of the camera on tools
There are better sources of information for the kind of basic electronics knowledge you'd likely need to troubleshoot something like this.
Louis puts more energy into trying to entertain people than teach them. There's a reason he only works on macbooks.