Assuming you mean radio control servos, they will do what you want because the signal from the Arduino just tells them what angle to move to. However they won't be as precise as a stepper motor.
The usual servos just move through 180 degrees (some a bit less, some a bit more). If you need position control up to about 3 full revolutions you can use a sail winch servo.
You can also get "continuous rotation" servos (or modify standard servos to make them rotate continuously) but they don't have position control.
If they are suitable, servos will be much easier to install and program than stepper motors.
...R