Even if you could find a realistic-looking chicken with
the feathers attached, there are several questions to
consider here -- the most obvious one which comes
to mind is: how do you plan on reattaching the
feathers for the following performance? Is the stage
manager going to have to re-glue or staple a bunch
of feathers before every show?
Otherwise, your best bet is to fake it somehow.
Either mime the action or build a phony chicken-like
prop where the feathers can be re-inserted
repeatedly. The latter, I'm guessing can be made by
sewing a white-canvas pillow in the rough shape of
chicken, covering the thing with spray-mount glue
and then either dribble loose feathers atop it or roll it
in a pile of them.    Give it ample time to dry before
showtime or your poor actor is going to be flicking
feathers off their hands for the rest of the show.