Depends on how broken the motherboard is. If they’re saying it’s broken around the USB port, but the phone is able to boot, then you could use someone else’s FP1 or a universal charger (examples) to charge the battery, and then copy files over bluetooth or via wifi.
If the board is completely dead, I’m not sure whether there are repair shops that can directly access the memory chips on the board - this could become very tricky (and expensive).
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