LOL! Why not I guess ...
You can log 4 minutes night flight.
What I know for sure is that one of the other aircraft there wanted to come later some half hour before total eclipse. ATC advised them (the day before when they were chating about it) that they cannot approve such a (day VFR) flight plan since the phenomenon will be in progress during that time period.
Since when do ATC approve VFR FPL's in non controlled airspace ? but this is another story not to hijack the thread please !