No. It means "there is very little chance of a man successfully resisting the charms of a beauty queen." Essentially, a wife in Hollywood knows that her husband will meet many beautiful women and that he probably will not be faithful to his wife. In some cases, the husband and a beautiful woman may be coworkers who become friends and eventually lovers. Sometimes, the man is a predator who offers favors or a job in exchange for sex, and other times, the woman is a predator who offers sex in exchange for a job.

hey there, It's a rhetorical question. it means that men don't have a chance to have them as their girlfriend.

So does it mean "there is very little chance a man will *meet* a beauty queen as his costar on set"?

"What chance does ... ?" is a rhetorical question. The meaning is "there is little or no chance of success ...."