Is it possible for people of the same sex to marry each other?

No. Gay (or homosexual) "marriage" is not really marriage at all. Marriage was instituted by God as a relationship between a man and a woman. "Therefore a man leaves his father and his mother and cleaves to his wife, and they become one flesh" (Gen. 2:24).

The Catholic Church takes a very high view of marriage and human sexuality. As the account of Genesis shows, marriage and sexuality were created by God and given to mankind as gifts for our benefit. Scripture records God's statement that "it is not good that the man should be alone; I will make him a helper fit for him" (Gen. 2:18). As a result, "a man leaves his father and his mother and cleaves to his wife, and they become one flesh" (Gen. 2:24). Some may forego the good of marriage to serve a higher calling (cf. Matt. 19:10-12), but it is a good nevertheless.

Marriage must, therefore, remain limited to one man and one woman who strive to keep their marriage exclusive, unconditional, permanent, and life-giving. Nothing less will ever meet the needs of the human person, because nothing less satisfies.