Are there any conditions which make oneself completely unredeemable in the eyes of God?

I am curious if there are any actions or conditions which "seal your fate" so to speak, such that should you do them—no matter how much you repent or accept Jesus or pray—that you are doomed forever to Hell. For example, Richard Dawkins wrote several anti-God books and has long been critical of religion; is it possible that he's "passed the threshold" of "saveableness"? Or are we all *always* saveable? Or someone who is born gay, and while I understand not all Christians think gays will go to Hell, there are certainly some major groups that do. Are these people then, ***genetically determined*** to go to Hell? A better example might be someone who is born blind and deaf, or extremely mentally ill, such that with no amount of instruction would they be able to understand the Bible, let alone the concept of "book" or "savior". These people would never embrace Jesus; are they damned from birth without any hope? **In other words, is it possible that the conditions of your existence could doom you to Hell *inevitably*, despite any efforts or willingness on your part?**