From the book of Romans alone, we can say that this person is destined for hell. Consider the following passages:
Romans 1:18-20: “For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who by their unrighteousness suppress the truth. 19 For what can be known about God is plain to them, because God has shown it to them. 20 For his invisible attributes, namely, his eternal power and divine nature, have been clearly perceived, ever since the creation of the world, in the things that have been made. So they are without excuse.”
Romans 3:10-12: "“None is righteous, no, not one; no one understands; no one seeks for God. All have turned aside; together they have become worthless; no one does good, not even one.”
Romans 10:13-14: “For ‘everyone who calls on the name of the Lord will be saved.’ How then will they call on him in whom they have not believed? And how are they to believe in him of whom they have never heard? And how are they to hear without someone preaching?”
I do believe that there are degrees of punishment. Luke 12:48 implies this: “But the one who did not know, and did what deserved a beating, will receive a light beating. Everyone to whom much was given, of him much will be required, and from him to whom they entrusted much, they will demand the more.” I believe that an unbelieving person will be punished in accordance with the knowledge they have.
The doctrine of election–which would belong in another thread–would also factor in here. If God has chosen one for salvation, God will ensure that he will receive the message of the Gospel since “faith comes from hearing, and hearing through the word of Christ” (Romans 10:17). One Scriptural case study is found in Acts 10, the story of Cornelius the Roman Centurion. God sent Peter to share the Gospel with him.