It isn't as common as I wish it were—but yes, people who rebel against God early in life sometimes do stop to think about the path they've taken, and eventually turn back to God. I pray this will be your experience.
One reason some people turn to Christ late in life is because they realize how empty their life has become. Could this be true of you? The devil promised them a good time; the Bible says sin has its pleasures "for a short time" (Hebrews 11:25). But if they are honest, they eventually realize that a life without God leads only to boredom, emptiness and despair. Most of all, it leads to Hell. The Bible warns, "There is a way that seems right to a man, but in the end it leads to death" (Proverbs 14:12).
Have you ever asked yourself why you turned against your family and rejected God? There may be many reasons, of course—but I suspect one of the strongest was simply rebellion. You wanted to run your own life, and you didn't want your family or anyone else (including God) telling you what to do. But was that logical? No, of course not.
God is speaking to you right now; don't shut Him out. Instead, realize that God still loves you, and Christ died to forgive you. Don't let pride or anything else keep you from Him.