No. The photographer’s stamp most often means the photograph was made by or with the permission of the photographer. This alone makes the presence of a famous photographer’s stamp desirable to photo collectors. However, photographers sometimes make reprints and ‘years after’ photographs, so the stamp does not automatically mean the photograph is a vintage original.
If a photograph has a crystal clear image, is vintage and has the photographer’s stamp, the photograph is likely original. The vintage part is judged by looking at the paper, aging, etc.