No. There are no such examples because Krishna being the Supreme Self is always right.
As per scriptures, where Krishna is there, that side undoubtedly is Dharma and righteousness (cf. Bhagvad Geeta - BG 18.78).
As says the Mahabharata -
Verse 13.153.39b
यतः कृष्णस्ततो धर्मो यतो धर्मस्ततो जयः ॥ ३९.ख ॥
- Where Krishna is there, know that Dharma is verily there, and in Dharma lies Victory.
Further,
Swami Sivananda of the Divine Life Society, in his book - LORD KRISHNA, HIS LILAS AND TEACHINGS says -
Introduction: Lord Krishna – The Supreme Lord
Though Lord Krishna appeared in human form, He had an Aprakritika,
divine body. He did not take any birth. He did not die. He appeared
and disappeared through His Yoga Maya. This is a secret, known only to
His devotees, Yogis and sages.
So yes, Krishna was just playing the leela pasttime of being a human, for he was the god himself in human disguise.
One of the basic difference between an incarnation (avatâra) birth or manifestation, and a normal human's birth is, that while a human jeeva birth is not under the jeeva's control, governed by laws of Karma and causality.
On the other hand, an incarnation like Krishna or Sri Rama manifests out of their own volition (sankalpa-shakti).
AND, thus Krishna is never wrong, for he's the God himself born to establish Dharma (cf. BG 4.7-8).