Happiness is not the same thing as pleasure. Happiness comes from within and is unrelated to external circumstances. Pleasure is a purely physical feeling and there are certainly people who take pleasure in other people's misery.
That is not happiness, it is sadistic pleasure and it only increases their unhappiness.
[Editing because I can't make a new reply for a while]:
Happiness is an upwelling feeling in our being. Pleasure is a purely physical sensation. Sure, they may happen together but they may also happen in apparent contradiction. That is why the sadist who likes taking pleasure in creating misery in non-masochists is doing so to while increasing their eventual unhappiness, and also why people in difficult circumstances can still experience sublime happiness.
The key is that the Law of Karma has a cause-and-effect relationship in time ("you reap what you sow"). It's like getting drunk and then having a hangover for those who sow unhappiness in others, while creating happiness in others is like a drug with no negative after effects.
This is why you will never see Trump truly smile as he can only fake it: he has ripped off everyone he could, used his powerful lawyers to keep from being held accountable, cheated on all of his wives, skeeved on Miss Universe pageant contestants by walking though their dressing room, lied any time he thought he could gain from them, and belittled every person around him for his own narcisistic pleasure. When you see him in a relaxed, introspective moment, his life of creating misery for everyone around him shows as plain as the sun at high noon on his face.
Ok going by your definition, there are people who experience the same upwelling feeling, when they make others suffer.
Or you are just saying this people doesn't exist ? Or they are just lying and somehow you know better then themselves regarding what they feel or experience ?
Maybe fundamentals reality is happiness is subjective.