A:AnswerYes you can. Both handsets are reporting back to the main base. Your second base is only a charging station. It doesn't matter which one the phones sit on to charge.
A:AnswerJill - The accessory handsets that you add an existing system come with a charger that is smaller than the base that comes with your system. The handset charger connects to AC power, but not the phone line. To advise you on which accessory handset to buy, we would need the model # of the system you have or wish to purchase. Thanks!