Do you mean "have" as in to possess a thing or to experience a thing? If someone possesses a fantasy or desire for someone it is common to say that they "lust

Do you mean "have" as in to possess a thing or to experience a thing? If someone possesses a fantasy or desire for someone it is common to say that they "lust after" that person. A person may lust after a supermodel, but that is different than a reference to that person experiencing a specific daydream about that supermodel. So it might all depend on tense. Metaphor is also common in this area where direct description many be impolite. A person can be smitten or enchanted by someone. Or they can carry a candle.