Yes, you can definitely request a name change at the interview. In order to do that reprint your application page which contains that option and hand it to the interviewing officer who will replace the new one with the old page(s).
It is much easier to do name change through naturalization ceremony. If you change your name, make sure that at the ceremony you get an extra sheet of paper in your packet that contains the court order authorizing name change as part of the naturalization ceremony.
I had the same problem - first and last names reversed in the Indian passport (which I now got corrected on my new passport through and Observation made on one of the pages). Also my Indian Birth Certificate only has my first initial followed by the last name.
I did not fill the other names used question assuming it was meant to be for "using other names after Green Card". My application is still pending. Shoudl I go ahead and do this now? before the interview or can I just mention this at the interview and not face any additional delays due to name check etc?
Any pointers will be greatly appreciated.
AP