Do this facility still allows walk-ins? I am asking this because, I am getting online appointment date after 4 months and that too for the learners licence. Again it may take another 4 months for the permanent licence.

Not at the moment. You'll need to schedule an appointment for you to get in

I think so on class C

You can go there and be in the line. They will help you with appointments. You may get appointment for next week. I went there during last week of June and I got the appointment for 3rd July for DL.

No, they are by appointment only.