Your answer, "Yes", is not correct.
The correct answer to
Are children to be punished for the sins of their fathers?
is
No
as shown by
Deuteronomy 24:16
which is
- KJV
- The fathers shall not be put to death for the children, neither shall the children be put to death for the fathers: every man shall be put to death for his own sin.
- NIV
- Fathers shall not be put to death for their children, nor children put to death for their fathers; each is to die for his own sin.