Unless you specifically ask for a copy of the original/current Certificate of XXX Birth (there are three possibilities for XXX. It will take longer, since they have to pull out the original document rather than generating a print out from a computer database. But it can be done.
There are many cases where it needs to be done. For example, to verfify a previous name, in extreme cases to determine one's birth parents for purposes of obtaining a medical history, or to verify any other information not on the short form/Certification, such as when applying for the Hawaiian Lands Program. It might also be required when applying for a security clearance, since it would verify parents place of birth, which is one piece of information they ask for. Most of the ROTC sites I found said a certified copy of an original birth certificate was required when applying for an ROTC scholarship. The Certification in not a copy of anything, much less of an original birth certificate.
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