Both chemistries are charged by cc/cv, so it should work especially since you can adjust the voltage. That's how i charge all my lifepo4 and li-ion with a cc/cv charger and they get an excellent charge.
lifepo4 16s(x 3.65) would be 58.4 max charge, li-ion 14s(x 4.2) would be 58.8 max charge, even without voltage adjustment its almost about the same, the li-ion would be a little (4.17 volts per cell) under the max but thats good for longetivity.