No, it's not too late to turn to God, and one reason God is giving you these extra days is so you'll do exactly that. The Bible says, "He is patient with you, not wanting anyone to perish, but everyone to come to repentance" (2 Peter 3:9).
Why is it never too late to respond to God's invitation to accept Jesus into your life? The reason is because God loves you. All your life you have ignored Him and not loved Him–but He has never stopped loving you. Listen: If you had been the only person on earth who needed to be saved, Jesus Christ still would have laid down His life for you. The Bible says, "This is love: not that we loved God, but that he loved us and sent his Son as an atoning sacrifice for our sins" (1 John 4:10).
What must you do? Christ has done everything that is necessary to make your forgiveness and salvation possible–but you must respond. On Christmas, people may have offered you gifts. But a gift doesn't really become yours until you actually receive it and take it for your own. And the same is true with Christ.
By a simple act of faith confess your sins to Christ and ask Him to come into your life and save you–and He will. Perhaps this was the last Christmas you will ever spend on this earth–but with Christ in your heart, ahead of you is heaven.