If your servo uses PWM signals, you could connect the signal line to the Navio and ground/power directly to the 12V power source. This is what I do with HV servos in RC cars for example.
Otherwise, the chances that the servo shield and Navio do not share any GPIOs is slim.
I think you should research a little bit more.
The Dynamixel servo uses a TTL data connection and will not work with the servo HAT you linked or with the Navio servo outputs. You could connect it to the Navios UART port, but Arducopter will not be able to control the servo. You will need to write your own code.
Why do you need to use a robotics servo?
Hi, sorry about that, didnt realized it was not pwm. Im not using ardupilot, my drone is completely controlled by my own control system that I made using python. I need a strong servo because I am implementing wing tilting on my drone. So I need a large rotor contact area for a more stable connection between the wing and fuselage.