Can an officer issue a citation for a offense after you leave the location

I drive a cab. An officer prevented me from backing into a parking space.
He told me to leave and go around the corner if I wanted to park. I did
and returned minutes later. Upon my return he activated his lights stopped
me and accused me of operating my cell phone (which in this state is not illegal).
Upon informing him and his supervisor the activity was not citeable, he then
issue a citation for illegal backing and pancaked a secondary charge of failing to use
my headlites in inclement weather. Am I not released when he fails to site me at the orginal incident?

You can receive a citation through the mail.
If you believe the ticket is undeserved, plead not guilty, and fight it.
But, don't jeopardize your hack license.

The answer is yes, an officer certainly can do that. However, doing so raises eyebrows and puts you in a position where you can potentially embarrass the officer in court by making him explain himself.