Thank you for posting your request on History Hub!
Unfortunately, at this time we are unaware of a way to submit a search request with the NPRC based on a range of dates in order to ascertain whether a service record exists. As far as we are aware this is not a normal practice for the NPRC primarily due to the massive extent of their records.
However, below I am including some helpful tips to keep in mind when submitting a request:
When completing the form you may want to take into account that during the years of the Vietnam War military service numbers were discontinued and social security numbers were used in their place. For more information please visit our website at: https://www.archives.gov/personnel-records-center/social-security-numbers
In 1973 there was a fire at the National Personnel Record Center that destroyed about 80% of Army records for personnel discharged between November 1, 1912 to January 1, 1960 and about 75% of Air Force records for personnel discharged between September 25, 1947 and January 1, 1964. After reviewing the US Department of Veteran Affair’s website we found a link that provides instructions on how to recover destroyed records. https://www.va.gov/records/get-military-service-records/reconstruct-records/
Lastly, there may be additional information that may help to narrow down your search date and provide supporting document. The location of records may vary and will be based off the years, unit/ship/station and branch of military. From what you provided in your post a starting point may be at the National Archives in College Park, Md. To contact a reference staff please submit an email to: Archives2Reference@nara.gov.
We hope this is helpful. Best of luck with your research!