Of course they can. God is infinitely powerful. It is not too difficult for Him to change a person’s desires.
But that doesn’t mean He will always do it. Some alcoholics lose their desire to ever drink again. Some do not and live with the constant temptation.
It is a wonderful miracle when a person’s desires are radically changed. It certainly demonstrates the power and the love of God.
But it is equally a miracle when a person is tempted but does not sin. That is not achieved by a strong will but by the spiritual provision of God. It is only as a person considers him/herself dead to sin and draws on the enabling of the Holy Spirit that such victory is possible. That also shows the power and the love of God.
What About Conversion Therapy?
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Testimonies - listen to the stories of people who have left homosexual practice behind by the grace of God.