Does AAA have driving test available that you can study?

No

Nobody has tests for you to study anymore not even the internet they give you their instructional magazine from the DMV and you read it but they don't have they have practice tests that you could take online but they don't have tests in paper for you to practice

I believe that they have a test that you can study until you are ready for the test. You do need to be a member though. They may have actual drivers test that you can do... Bit you should check with the facility.

Sorry no. You can get a driver's manual there