Green’s Dictionary of Slang

fuck a duck! excl.

[cited occas. as rhy. sl., but only by redup., and not a genuine version]

an excl. of surprise, disbelief, dismissal or rejection.

[US]H. Miller Tropic of Cancer (1963) 39: Well, fuck a duck! I congratulate him just the same.
[US]H. Miller Sexus (1969) 125: Fuck a duck! I said to myself. Fuck everything!
[UK]G.F. Newman Villain’s Tale 28: Parker said, ‘I don’t think so, Jack. I mean, I wouldn’t do you any favours getting involved [...] ‘Fuck a duck!’ Lynn said in dismay. He had been half convinced that Alan Parker would have fancied some of it.
[UK]Partridge Dict. Catch Phrases (2nd edn) 104/2: Go fuck a duck! ‘Get lost!’ ‘Beat it!’.
[SA]P. Slabolepszy ‘Boo to the Moon’ in Mooi Street (1994) 91: spider: Fuck a Duck. jessica: Oh my God. What happened? [...] spider: Shit a brick.
[US]P. Munro Sl. U.
[US]T. Dorsey Florida Roadkill 126: ‘Fuck a duck,’ said Sharon.
J. Barcroft Murder Out of the Ballpark 106: ‘Fuck a duck,’ he said.
[US]S. King Finders Keepers (2016) 47: He grabbed the handle again and this time it snapped. ‘Fuck a duck,’ Pete said.
[Aus]T. Spicer Good Girl Stripped Bare 20: ‘Fuck a duck! I’m gunna lose me licence’.