No. If you read the small, fine print in the annual media guide, you'll see a name related to mascot operations.
I believe the guy doing him now is second guy.
It's always in the fine print now because the lessons learned from the KGB Chicken and the Padres back in the early 80s (and the lawsuit that it generated).
The outcome of all this is whoever owns the rights to the mascot are very cautious not to dilute it's value. Thus, the name of the person in the costume is not widely known and acknowledged.
IIRC, the person in the chicken costume was Ted who's last name I have forgotten. I interpreted the outcome of the lawsuit is that nobody won much but the lawyers. Ted could not infringe on the KGB Chicken trademark and rights, but was free to seek employment using costumes in the future.
Ted became the San Diego Chicken with a costume that looked different and with different color scheme and logo. The logo was interesting becuase I though the Flyers might end up sueing Ted. Ted's logo looked very much like the Flyer logo.
Anyway, that's what I remember.