God doesn't damn people, people damn themselves by the choices they make.
John 3:16-21
16 "For God so loved the world, that He gave His only begotten Son, that whoever believes in Him should not perish, but have eternal life. 17 "For God did not send the Son into the world to judge the world, but that the world should be saved through Him. 18 "He who believes in Him is not judged; he who does not believe has been judged already, because he has not believed in the name of the only begotten Son of God. 19 "And this is the judgment, that the light is come into the world, and men loved the darkness rather than the light; for their deeds were evil. 20 "For everyone who does evil hates the light, and does not come to the light, lest his deeds should be exposed. 21 "But he who practices the truth comes to the light, that his deeds may be manifested as having been wrought in God." NAS
As to those who have never heard the gospel, Paul addresses this situation in Romans.
Romans 2:14-16
14 For when Gentiles who do not have the Law do instinctively the things of the Law, these, not having the Law, are a law to themselves, 15 in that they show the work of the Law written in their hearts, their conscience bearing witness, and their thoughts alternately accusing or else defending them, 16 on the day when, according to my gospel, God will judge the secrets of men through Christ Jesus. NAS
There are no second chances for those who have heard God's truth and rejected God's plan for the salvation of mankind and/or interpreted His truth by appealing to the traditions of men.