Not to my knowledge. I had understood that they were allowed to stay. In Rhodesia they had "their" land expropriated, so many chose to leave, and In South Africa they had their political dominance ended. The issue of land expropriation remains under debate.
In both cases it wasn't bloodless, and south Africa retains a white population to this day, so clearly not genocided.
I am not deeply familiar with the history of Zimbabwe, so if you are, please enlighten me.