I plead guilty to a non-traffic violation but now I realize that my name is wrong on it.

Example.

Real Name: John Q Public.

On Ticket: John P Public.


Can I still fight this, or because I already plead guilty am I stuck?

Most likely you could not have gotten out of it, minor typo on a ticket is not normally grounds to get it dismissed.
But after you plead guilty normally your rights to appeal are gone.