No. A physical is not required. However, you should report any known medical conditions to the DMV Office so that the branch can determine if a restriction should be put on your license. For example, if you needed corrective lenses to pass your vision test successfully, your license would indicate "Corrective Lenses" restrictions.
You must take your CT Driver's license at the DMV office. When you take your photo, you should make sure that you wear what you would normally. It's extremely important that your face is clearly shown and recognizable. Look straight at the camera and do not smile, as a resting face is easier to identify.
If you are under 18, your parent or legal guardian should accompany you. If they are unable to do so, it is possible to circumvent this requirement by bringing inside a Certificate of Parental Consent.
You will need to bring your Learner's Permit Application, a signed parental consent form, your Social Security Number, two documents proving your residency in Connecticut and two documents proving your identity.