Charging a 7.4V 850mAh lipo battery with a 10V 4mA power source is possible but requires a specialized charging circuit, resulting in a very slow charge. While some integrated circuits (ICs) can handle such low current inputs, they may not be efficient enough for this specific application. The LT8490 IC was mentioned as a potential solution, designed for solar panels, but concerns were raised about its quiescent current consuming most of the available power. A two-chip solution could improve efficiency by allowing the charging operation to pause while the capacitor charges. Overall, while feasible, this setup presents significant challenges in terms of efficiency and practicality.