In physics, there are two types of energy potential and kinetic.
Potential energy is just that, something that has the possibility of happening. An apple hanging from a tree, a book on a table.
Once the apple or book falls from their perch, the potential energy is transformed into kinetic energy, it is realised as movement with possibly secondary vibrations or ripples which can be felt.
In your excerpt
He was kinetic and yet totally in control.
The author is using her vocabulary of movement to describe the appearance of Prince on stage, the energy he exuded, his movements, and his dancing. She is saying he was moving quickly and energetically, but was still in control. If you've ever seen Prince perform, you will know that he is always in control.
Also with performers, they can be described as being kinetic at an energetic level. Electric might be a good synonym where the performer takes on a buzzing/humming quality with their presence, like a high voltage transformer.
Ballistic would imply a singular, sudden unidirectional movement.
Bouncing off the walls would imply movement without intent.
Neither would be appropriate for describing how Prince moves and performs.
I would say no, you can't use "prestigious" for a person. When we say that Harvard is prestigious, we mean that it confers prestige on people who go there. With that sense of the word, it doesn't make sense to describe a person as prestigious: what would that even mean?
Wiktionary suggests that typical things describable as "prestigious" include "award, prize, job, address, school, university, college, club, journal, firm, institution, office, etc." but not people.
As an alternative, you could talk about the person's high status or high reputation. I think you'd be more likely to talk about the reasons for their high prestige: e.g., if they've won a huge number of awards, you could say that they're "the most decorated person" or, if they're a sportsperson or academic, you'd tend to talk about their success in their sport or their intelligence. Other good words to use include "respected", "admired", "celebrated", "renowned", "reputable", or "eminent", as suggested by Gary Botnovcan in a comment.
Best Answer
The antecedent is people at the school, although it's plural and Harry is singular, so the deleted portion we must recover is person at the school: