Unless you mean arrogance towards everyone other than you, I would suppose so. You could decide you belong to some group that is superior, be altruistic and compassionate towards those in your group, and only look down on those not in your superior group.
Particularly if you’ve been indoctrinated by a society so that you actually believe you’re superior to one or more other groups, it might not be that you’re self-centered per se, but you might well be arrogant, or at least act arrogantly, towards certain others.