Emotions - most likely not. Eugene has already told about the nature of emotions very well. I can only add about control.
There is such a thing as emotional intelligence. It is determined by the ability to be aware of one's emotions and control them, to understand the intentions and feelings of other people, and the like. Here is a Wikipedia article on EI: ru.wikipedia.org
Does emotional intelligence depend on ordinary intelligence? I think yes. Intelligence is the level of the ability to know, analyze, adapt and adapt. The higher a person's ability to analyze, the correspondingly higher is his ability to understand himself and others, to control the situation, to be flexible. Remember what emotions you experienced and at what level did you understand others as a child? With the level of general development, the skill of managing your feelings also increases.
But of course there are exceptions. There are people who, despite their deep erudition and broad outlook, are deprived of the ability to experience empathy, sympathy, and other feelings that help us understand others and ourselves. Although, it is worth clarifying that intelligence and erudition are far from the same thing.
In addition to the fact that the concepts of emotion and intelligence are rather vague, then yes, they do. Between emotion and reaction, a person has a moment of awareness and deciding how to act. So a fool will succumb to emotion and an intellectual will choose the most beneficial reaction for himself
All emotions, one way or another, are born in accordance with the trigger that caused them. Referring to Paul Ekman, I suggest you imagine yourself in a car going through a green light, driving. Then suddenly, at a red traffic light, another car rushes into you. You will experience fear (a natural defensive reaction - at the level of instincts, any sharply approaching object is hypothetically dangerous). You, being under the influence of fear, will begin to sharply press on the brake pedal.
Another thing is the ability to control your emotions, their severity. The same Paul Ekman cites the example of a driving school instructor. Having at his disposal a second set of pedals, the instructor can brake if suddenly his student runs the risk of parking "in the backside" of another car. At the instinctual level, an inexperienced instructor would press the pedal, causing the car to stop, as he experiences fear, a sense of danger, but an experienced instructor will not do this until it is clear for sure that a collision will be inevitable if you do not react.
As an example, a simple motorist sitting on the front passenger of an ordinary car (not a school one): in the same situation, this motorist instinctively, under the influence of fear, would press on a nonexistent brake pedal. I myself have repeatedly noticed this reflex.
Answering your question: emotions depend on life experience, on the number of cases that imitate the trigger of a certain emotion, and the severity of these emotions depends on self-control.
You can, of course, delve into this dilemma, but then I will have to ask a counter question: what is the unit of measuring the level of intelligence?