The Bible says that if you sin, your descendants could be punished instead of you. This means that you could be punished by God for a sin committed by your great-grandfather.
Answer:
No.Exodus 20:4-6 - "You shall not make for yourself a carved image, or any likeness of anything that is in heaven above, or that is in the earth beneath, or that is in the water under the earth; you shall not bow down to them nor serve them. For I, the Lord your God, am a jealous God, visiting the iniquity of the fathers on the children to the third and fourth generations of those who hate Me, but showing mercy to thousands, to those who love Me and keep My commandments."
This, and repeated warnings elsewhere in Exodus, Numbers and Deuteronomy, were specific to a particular trespass (idolatry in the passage above), and note the qualifier: "
of those who hate Me."
What of those who DON'T "hate" God?
Jeremiah 31:29, 30 - "In those days they shall say no more: 'The fathers have eaten sour grapes, And the children's teeth are set on edge.' But every one shall die for his own iniquity; every man who eats the sour grapes, his teeth shall be set on edge."
Ezekiel 18:20 - "The soul who sins shall die. The son shall not bear the guilt of the father, nor the father bear the guilt of the son. The righteousness of the righteous shall be upon himself, and the wickedness of the wicked shall be upon himself."
All sin has consequences. If everyone knows your great-grandfather was a mass murderer and your family is stigmatized as a result, you're suffering from the repercussions of his sins, not being "punished by God" for them.
[Quotes from NKJV]