It is likely that the requirements will be at least as stringent as for a regular pilot’s license; not drivers license, but full-on, FAA-approval to operate an airplane. (That might disqualify me as, even with glasses, my eyesight is not great. As it cannot be corrected to 20/20 in both eyes, I can never get a Pilot’s License.) And that is far enough in the future that spacecraft are about as common as small planes are now.
For the more immediate future, it’s likely that the requirements will be as high as they are now; more comparable to that of a military fighter pilot along with some of the training of non-pilot astronauts. Handling the G-forces of takeoff/maneuvering, and the special nature of zero-gravity require training and a little conditioning. Operating a vehicle that has the capabilities to get you there requires more training.
If you cannot even get a drivers license, the only way you’ll ever go to space is as a passenger. Even if you can get a drivers license, the added knowledge requirements of moving in 3 dimensions instead of 2 along with the more complex traffic regulations and safety protocols is enough that even most drivers will never fly.