Yes, it is possible to love and despise someone at the same time. Everyone possesses both great and bad traits, and while we may love someone for their wonderful traits, the issue occurs when we concentrate on their flaws. When we don't like someone, we want to make them change and get rid of the bad habits, yet we have no power over other people. And we will continue to have diverse reasons for loving and disliking them. For instance, people often experience conflicting emotions toward the other person when a romantic relationship ends or when they are estranged, which is the root of the misunderstanding over whether they love or despise the other person for particular reasons. And the best thing, in such is a situation is to respect people for who they are.