The answer, according to Google Images, was "No!"
Then I remembered my under-used dataset, so I set to work coming up with some kind of Venn (or Euler) diagram. It turns out that these little blighters are quite difficult to construct beyond about four overlapping sets. Indeed, it is still a fairly active area of academic research.
I took my database of 289 drinks, and found the most common ingredients:
- vermouth (sweet and dry),
- rum (dark and light),
- lemon juice,
- bitters (including Angostura),
- lime juice,
- orange juice, and
- brandy (including cognac)
- vodka, and
It's almost symmetrical with the fortuitous but curious fact that no drink in my database contains both vodka and whisky.