I still remember one time as I was a new driver, I saw a friend in the other lane, and I told my parents, “look, there’s my friend!” And I looked over at her, and started accidentally turning my car into the direction I was looking.

My parents quickly told me to drive straight, and I got control of the car again, but this goes to show that it IS a skill to be able to look around, at mirrors, at the blind spot, etc, without also moving the steering wheel. But you will get better at it with more practice and especially good experienced drivers or instructors helping you practice.