Apparently not.
And, so far as I can tell, that would have to be a highly individualized statistic, since some people live their whole lives without being in the vicinity of a flying cork and some never board a plane nor live under a flight path.
Corks shouldn't go flying, anyway. But, when they do, turn your head! Getting hit in the eye is indeed a danger.
Copy-and-paste:
Champagne corks, happily abundant in many cultures at summer weddings and sports victory parties, boast a famously dark side. “I never remove an injured eye unless there is absolutely no chance for it to be pieced together. And yet I have had to enucleate a number of cork-ruptured eyes,” Dr. Kuhn said. Oddly, eye injuries from champagne corks are a hundredfold more common in Hungary than the United States. Why? “Because in the U.S. there are warning labels on these bottles, and in Hungary there are none. Even in an unshaken, well-chilled bottle of champagne, the pressure is three times higher than the pressure in your car tire. That cork leaves the bottle at a fantastic speed. And so a warning label is both warranted and, apparently, effective.”
https://www.theverge.com/2016/12/31/14135404/champagne-sparkling-wine-science-bubbles-physics-alcohol-hangovers-new-years
[Original 2009 article from aao.org no longer online]
More technical:
"The incidence varied between six and two cases a year (average 3.89). Bottle cork and cap injuries represent 11% of all injuries admitted to our department in the period considered in our series. In details: nine patients recovered totally, 22 patients recovered partially, three patients had a severe visual outcome (
https://pubmed.ncbi.nlm.nih.gov/18696096/
I'd send a correction notice on that question.
Every unreliable site I've checked claims you're more likely to be killed by a champagne cork than by a poisonous spider. I'm quite sure that tidbit is wrong.
http://www.corsinet.com/trivia/m-triv.html