Yes, the steering servo can overload the ESC's BEC (Battery Elimination Circuit). This is a circuit meant to power the servo. I had a similar issue and stepped up to a Futaba Transmitter and receiver to take care of it.

Some people will add a separate BEC circuit that bypasses the ESC and reciever to power the servo directly.


You can also add a "Glitch Buster" to help take care of the problem.