**In regards to his own Church's (Rome) teachings**
Not just Rome's, unless you think bashing your own bishop in the press and constantly calling for priestesses, acceptance of sodomy, evolution of dogma, acceptance of abortion and the Pill, religious indifferentism, abandonment of the idea of an infallible Church, etc. are acceptable in Orthodoxy.
I think not.
Kung is an arch-Modernist, one of Satan's unwitting tools to subvert Christians into atheists.
Sometimes you have to use strong terms for wolves like Kung. You see, he is not just a raving lunatic. A man of many gifts, he could have become a great theologian.
He is very lucky St. Pius X is not still sitting in the chair of Peter! He would have lost more than his license to teach theology.