Barring cross winds, the fact that the stage ends with pretty simple crit laps of the Champs means that the "same time" rule of the sprint finishes mostly makes this impossible.
You would have to have a miniscule time gap and some kind of crazy cross wind that causes a split.
WRT to this, last solo win on the Champs was Vinoukerov in 2005. Modern era enough for me to say with a perfect storm it could happen. The time delta and bonuses meant Vinoukerov picked up time on his rivals.........per Wiki. I had to look it up.
So, if wind is light, weather good.......as is typical of that day and the gap is anything more than 5 seconds.............I'd say it's pointless.