Definitely! Especially because a 'trait' like wealth could really be viewed as a 'symptom' or 'manifestation' of other traits, like a focus on numbers, or highly active, productive energy level. Fame, is it's own monster, and, like political power, people who seek it are usually more self focused while those that feel it is a responsibility more selfless.

“the most improper job of any man, even saints (who at any rate were at least unwilling to take it on), is bossing other men. Not one in a million is fit for it, and least of all those who seek the opportunity.”

― J.R.R. Tolkien