In most places, you can get your driver's license even if you drop out of school. The requirements for getting a driver's license typically focus on age, passing a driving test, and vision test, and sometimes completing a driver's education course. They don't usually require you to be enrolled in school.
However, some states might have slightly different regulations, so it's best to check with your local Department of Motor Vehicles (DMV) or equivalent agency to confirm the specific requirements in your area.