Are we punished for the sins of others?

---

Yes

The darkness of their skins ... and ... their filthiness came because of their fathers. Jacob 3:9

No

The son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him. Ezekiel 18:20