Paratransit does require the applicant to apply in person to make sure they are who they say they are, and to assess and confirm need. It will also send a driver to pick up the applicant and deliver them for the scheduled assessment. But the assessment is not a medical test or physical; it is a discussion!
The application does not require a physical or anything written from your healthcare provider. The application does ask for the names and contact information of two healthcare professionals with knowledge of the applicant. If contacted, regulations including HIPAA prohibit Madison Metro and the professionals listed from discussing your mental or physical condition in detail.