“Peking Duck” is not a “peeking duck,” but there are jokes. A riddles was posted on the newsgroup alt.humor.puns on February 22, 2005:
 
Q: Why can’t you play hide-and-seek with poultry in a Chinese restaurant?
A. Because of the Peking Duck.
 
Another version of the riddle was posted on Reddit—Dadjokes on March 7, 2019:
 
Q: Why is it so hard to play hide and seek inside a Chinese restaurant?
A: Because the ducks are always Peking.
   
     
Wikipedia: Peking duck
Peking duck is a dish from Beijing (Peking) that has been prepared since the imperial era. The meat is characterized by its thin, crisp skin, with authentic versions of the dish serving mostly the skin and little meat, sliced in front of the diners by the cook. Ducks bred specially for the dish are slaughtered after 65 days and seasoned before being roasted in a closed or hung oven. The meat is often eaten with spring onion, cucumber and sweet bean sauce with pancakes rolled around the fillings. Sometimes pickled radish is also inside, and other sauces (like hoisin sauce) can be used.
           
Google Groups: alt.humor.puns
chinese
.(JavaScript must be enabled to view this email address)
2/22/05
Why can’t you play hide-and-seek with poultry in a
Chinese restaurant?
A. Because of the Peking Duck.
 
Google Books
Jokelopedia:
The Biggest, Best, Silliest, Dumbest, Joke Book Ever
Compiled by Ilana Weitzman, Eva Blank, Alison Benjamin and Rosanne Green
New York, NY: Workman Publishing Company, Inc.
2006
Pg. 48:
Why can’t you play hide-and-seek with poultry in a Chinese restaurant?
Because of the Peking duck.
 
Twitter 
FunnyOneLiners
@Funnyoneliners
Why can’t poultry play hide and seek in a Chinese restaurant? 
Because of the Peking Duck.
4:57 PM - 13 Jan 2010
 
Twitter
mkhud50n
@mkhud50n
You can’t play hide and seek with ducks if they are Peking.
9:36 PM - 18 Nov 2010
   
Twitter
amelia
@amelialikesyou
it’s honestly not even fun to play hide and seek with you anymore, Duck. you are always Peking
1:49 PM - 11 Nov 2012
   
Twitter
THE GRUMP
@SLAMDUNKDAGRUMP
Why are ducks so good at hide and seek?...because they’re always Peking #badjokes
3:35 AM - 19 Nov 2015
   
Twitter
mumoss
@mumoss
Why can’t you play hide-and-seek in a Chinese restaurant? Because it’s always spoilt by the Peking Duck.
11:04 AM - 5 Jun 2016
   
Twitter
Living Sarcasm
@SarcasmLiving
Why can’t poultry play hide and seek in a Chinese restaurant? Because of the Peking Duck……….quack, quack
8:02 PM - 9 Apr 2018
 
Reddit—Dadjokes
Posted b yu/2donutkid2 March 7, 2019
Why is it so hard to play hide and seek inside a Chinese restaurant?
Because the ducks are always Peking.