I don’t know much about the Haitian culture but I know a little about Christianity. As a Christian at the very least prayers should be offered for the suffering of these people. If you can give more help or comfort that would be great. I see nothing Christian in blaming their suffering on the sins of their Fathers.
Unfortunately, that’s not what the Bible says. Throughout the Bible you will see many of examples of those who deliberately chose not to obey God and worship him. In fact, many civilizations were completely destroyed for their hatered of God.
I do agree that we should be praying for these people, but praying that God takes this situation and gives glory to His name and that those people repent of their sins and turn to Him for their salvation.
Exodus 20:5 - “You shall not worship them or serve them; for I, the Lord your God, am a jealous God, visiting the iniquity of the fathers on the children, on the third and the fourth generations of those who hate Me,”
Deuteronomy 5:9 - “You shall not worship them or serve them; for I, the Lord your God, am a jealous God, visiting the iniquity of the fathers on the children, and on the third and the fourth generations of those who hate Me,”
Exodus 34:6-7 - “Then the Lord passed by in front of him and proclaimed, “The Lord, the Lord God, compassionate and gracious, slow to anger, and abounding in lovingkindness and truth; who keeps lovingkindness for thousands, who forgives iniquity, transgression and sin; yet He will by no means leave the guilty unpunished, visiting the iniquity of fathers on the children and on the grandchildren to the third and fourth generations.”