If it says it will work for Li-ion it should work. Many of the BMS out there are built to run either Li-ion or LiFePo4 but there should be a way of setting on the BMS which one it is.
Bratwurst is correct. Because of different chemistries you can only charge and discharge different types of batteries to specific levels without the risk of dendrite formations and internal short circuiting. So in the end you can’t just take a BMS specifically for LiFePo4 and use it on a Li-ion battery. But many BMS are designed to take either types.