Chosen Solution
I would like to know if it’s possible to somehow modify a iPhone 5 battery to work on a iPhone 5c
These are not interchangable. The iPhone 5 connector has 4 pins, but the 5c has 3. Replacement guide if needed:iPhone 5c Battery Replacement
I would imagine that you could remove the BMS board as of the 5 battery and mount it to the 5Cs battery. But I have never tried this before so I may be wrong.