Can DFR0563 fuel gauge Be Used With DFM8001 energy harvesting kit

Can DFR0563 fuel gauge Be Used With DFM8001 energy harvesting kit to monitor battery charge that the battery will supply the circuit and if the energy harvesting is charging it at all at times? Kind of like the solar power manager on the fuel gauge wiki? Essentially, is there any stick out issues with this diagram for a system like problems with the battery charging? I want the battery to be the primary source of power the arduino but the energy harvesting will also supplement and help charge the battery when it can.