When Paul describes some of the Galatians as having "fallen from grace" what did he really mean? Can a genuine, redeemed Christian fall from grace? What about Once Saved Always Saved? Does this mean someone can still inherit heaven while living an unrepentant life of sin or even leave the faith?

No. OSAS goes hand in hand with perseverance until the end. The Bible is abundantly clear that keeping the faith is necessary (e.g. Hebrews 3:12-19, 1 Corinthians 10:13, 1 John 2:19, 3:9, 2 Timothy 4:18).

It's interesting that Saint Augustine and Martin Luther, men greatly respected by Protestants and the Reformed, believed that a regenerated person could fall finally and totally and lose their regeneration. They also believed, however, that this is impossible for God's elect whom would always be safe and preserved.

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"But, beloved, we are persuaded better things of you, and things that accompany salvation, though we thus speak. For God is not unrighteous to forget your work and labour of love, which ye have shewed toward his name, in that ye have ministered to the saints, and do minister." (Hebrews 6:9-10, KJV)