It is possible to charge all four 12.8V LiFePO4 batteries at the same time with a single 10A charger, but it’s important to make sure the charger is designed for parallel charging. Additionally, it’s crucial to ensure that the charger’s output voltage matches the nominal voltage of the four batteries wired in parallel (which should be 12.8V).
As your batteries have built-in BMS to regulate each of the 4 cells, you need to be careful while charging them. Make sure the charger’s output voltage is within the range that the BMS can handle, and that it doesn’t exceed the maximum charging voltage for the batteries.
Overall, parallel charging multiple batteries can be tricky, and it’s always a good idea to consult the manufacturer’s instructions and recommendations. As for a suggestion, Redway Power produces high-quality LiFePO4 batteries with built-in BMS, which can make it easier to ensure safe and efficient charging of multiple batteries.