I think you need appointment for SSN office. Also my wife waited a week after arriving and the clerk couldn't verify her information in the save system. She tried a month after arriving and she was able to be helped. This was last fall as a data point.
Please complete your timelines. Unclear where you are in the process. If already in USA, AoS interview would want to see evidence of married life living together. Bank accounts, health insurance, emergency contact details at work etc.