Certainly people differ in what they can and cannot do. Even performance on an IQ test can be a useful gauge of what one might be good or bad at doing.
But "intelligence", as a real thing independent of anything else? No. Doesn't exist. It's a social construct. It's an abstract idea, an estimate, an opinion that one person has of another. We may use it as a shortcut to talk about what a person might generally be capable of doing, but the less specific your statements about someone's capabilities, the less they apply to a real person. By the time you get general enough to talk about "intelligence", you've become so vague that your statements have no practical application and no predictive value--or else your statements have become stereotypical, limiting, and ultimately false.
Book recommendation: The Mismeasure of Man, Stephen Jay Gould. Includes a very accessible discussion of factor analysis, explanation of how error and bias creep into even honest experiments, and an overview of the history of mental measurements, from brain volume to IQ tests.