Jason Zimmerman was a Starfleet officer who was listed as a chief of staff on the dedication plaque of the USS Stargazer. (PIC: "The Star Gazer")
Zimmerman was listed as a member of Starfleet Command on the dedication plaque of the USS Enterprise-G. (PIC: "The Last Generation")
This character was only mentioned in writing.
It can be presumed that this individual was named after supervising producer Jason Zimmerman.