According to F1, no, but according to the international press, this did happen, saying that Niels Wiitich has added too much fuel to the fire recently...
The FIA unexpectedly announced today that Formula 1 World Championship Race Director Niels Wittich is leaving his position with immediate effect. According to the statement released this afternoon, the German specialist "sought new opportunities," which is the reason for his sudden departure, even before the Las Vegas Grand Prix...
"The FIA confirms that Niels Wittich has stepped down from his role as F1 Race Director to pursue new opportunities. Niels performed his duties as Race Director with commitment and professionalism, for which we thank him and wish him every success in the future," the statement read.
Meanwhile, the international press is increasingly reporting on the serious differences between Wittich and FIA President Mohammed ben Sulayem. Because of this, Wittich's hands were tied, and at the end of the year, he definitely had to leave. It's quite likely that all this was due to the FIA constantly pestering the drivers with trivial matters: swearing, body jewelry, underwear. The open letter from the drivers' organization probably gave him the final push to get him fired.