Your answer, "No", is not correct.
The correct answer to
Are children to be punished for the sins of their fathers?
is
Yes
as shown by
Exodus 20:5
which is
- KJV
- Thou shalt not bow down thyself to them, nor serve them: for I the LORD thy God am a jealous God, visiting the iniquity of the fathers upon the children unto the third and fourth generation of them that hate me;
- NIV
- You shall not bow down to them or worship them; for I, the LORD your God, am a jealous God, punishing the children for the sin of the fathers to the third and fourth generation of those who hate me,