I remember back in the days of aus.cycling someone doing it fixed, proved problematic because of all the `peleton' type activity; the freewheeling, pedalling, freewheeling nature of that sort of riding doesn't mesh well with fixie riding apparently.
So doable but not that pleasant on a fixie.
On the other hand a quick google turned up this
with some recogniziable names
Anonymity is a shield from the tyranny of the majority. . . .