No, being whipped is having her some control over you in needless harmless things, this is just obbsessive and uber controlling relationship, way beyond whipped. Its not healthy for a single second, let alone being together for years as he describes...I shouldnt judge on two posts alone, but what he said is enough, super unhealthy.
I known peeps who are in relationships like this, never turn out well, gets alot worse, at younger age left more then 1 relationship myself due to getting overly obbssessive or controlling (even one who questionned why I go to cinema with my own frigging sister). You take controll in balanced way and REALLY get comfortable and trusting with eachother in the basics (there is a frigging limit to insecurities, dont feed it) or you leave the unhealthy dynamic.