No, I don't.
That would condemn many people who hadn't even heard of Jesus (eg indigenous tribes etc) or of Christianity to an eternity of hell through no fault of their own. What sort of loving God would do that? Certainly not the God I believe in.
I believe that God is the (for want of a better description) creative force for good in the world, and that this force influences people to be have well and unselfishly - if we open ourselves to it. I believe that Jesus Christ was the embodiment of that force incarnated in human form, who chose to come to teach us how to be open to the Divine, and that it is through that that we come to God and eventually to heaven*.
I believe that there are many people, as I have said, of all faiths and of none, who are instinctively - at least at some times in their lives - open to the Divine; that is is the Holy Spirit working in and through them. I also believe that some people are unaware that they are open, and often lead quite "sinful" (I don't really like that word in the way it's used now) lives, but who then shock themselves by behaving in a truly Christ-inspired way (eg Oskar Schindler) - people who when the chips are down see what is important and fight for it, often at great risk to themselves.
Are some people beyond redemption? I don't know, though thinking of people like Savile, Putin, etc maybe. And there are other people just as evil and cruel, but on a domestic scale. Perhaps they are. But only God sees the heart, and only God sees what experiences have formed even the most brutal among us, so only God can make that judgement. However, no matter how difficult our up brings we can't blame our bad behaviour on others - we each have a responsibility to break that cycle of cruelty.
*Heaven being closeness to God, and Hell separation from God