No, one couldn't possibly generalize in that way. Sometimes people, even good people, become despondent after tragedy and never recover. Human beings are very complex; far too complex for trite sayings about pain and growth. Even the term 'good' is a little too simplifying. Everyone has faults of some sort.
To that end, here's a little joke from Jack Handey, "Whatever doesn't kill me makes me stronger. Not lifting weights doesn't kill me. Therefore not lifting weights makes me stronger."
One never knows what will or will not produce growth.