Yes, and the Roman Catholic church thought so, too, for centuries.
(For until the law sin was in the world: but sin is not imputed when there is no law. Nevertheless death reigned from Adam to Moses, even over them that had not sinned after the similitude of Adam's transgression, who is the figure of him that was to come. But not as the offence, so also is the free gift. For if through the offence of one many be dead, much more the grace of God, and the gift by grace, which is by one man, Jesus Christ, hath abounded unto many. And not as it was by one that sinned, so is the gift: for the judgment was by one to condemnation, but the free gift is of many offences unto justification. For if by one man's offence death reigned by one; much more they which receive abundance of grace and of the gift of righteousness shall reign in life by one, Jesus Christ.) Therefore as by the offence of one judgment came upon all men to condemnation; even so by the righteousness of one the free gift came upon all men unto justification of life. For as by one man's disobedience many were made sinners, so by the obedience of one shall many be made righteous." -- Romans 5:12-19"Wherefore, as by one man sin entered into the world, and death by sin; and so death passed upon all men, for that all have sinned:
I don't know how much clearer Paul could make it. All men's nature was corrupted by Adam's fall. By grace, those who are given faith in Christ have Christ's righteousness imputed to them.
And no man is without excuse because "the free gift" has appeared to all men. But not all men are born again by the Holy Spirit which is the only way for men to believe the truth and be saved.
We lost our kinship with God in our fall. We were restored to this kinship through the Marriage Feast of the Lamb (Jesus's Passion). This is the Catholic perspective.