I had a stent put in for kidney stone. Can I use another Dr to have the stent removed?

You may. It would be better to stay with the doctor who installed the stent, as he has better knowledge of your anatomy. If there is a strong reason to changing the doctor, that is your prerogative.
Wish you good health! - Have a diet rich in fresh vegetables, fruits, whole grains, milk and milk products, nuts, beans, legumes, lentils and small amounts of lean meats. Avoid saturated fats. Drink enough water daily, so that your urine is mostly colorless. Exercise at least 150 minutes/week and increase the intensity of exercise gradually. Do not use tobacco, alcohol, weed or street drugs in any form.
Practice safe sex, if you have sex.