Yes.
Consider the Biblical stories of Aninias and Sapphira, the man with his father's wife, and what Jesus said to do when you bring offerings with a grievance in your heart for God's demeanor toward those who confuse Him with Santa Claus.
They lied about how much they were giving to the budding Church to make themselves look better - how does that correlate? Can a homosexual be saved? How different than the liar and thief who still has bouts of lies and thievery? How about the average, everyday Christian who falls for some temptation each and every day (whether they realize/recognize it or not); are they doomed?