Sin is subjective, so your question doesn't make sense. It's also unrelated to my earlier post.
But it's interesting all the same.
I'll try to answer what you thought you were asking, in terms of the thread title.
The TLDR version is that sin can be hereditary.
The full version:
Lets say that being "too selfish" is "bad", because it has a negative effect on you and on your immediate social group, including your children. e.g. a male lion eats all the food, and over time his cubs are weakened by this.
So we could say that's "bad" (as a proxy for "sin"), and everyone would be better off if there was a protocol ("morality") that discouraged it.
So my scenario provides for bad behavior by following your animal nature. And a possible social solution: a system that inclines people to give up a little to benefit others. Like tax, but without active (threat-based) coercion
So of course a tendency to sin can be natural/hereditary.
But now we find ourselves in a different discussion:
defining morality, and agreeing on how to enforce it.
We absolutely need a way to agree on definitions of good vs bad behavior. And it needs to be "fair" in a way
the community as a whole can live with.
For most of us here, our historical cultures have covered part of this with formal civil laws, some of it via religions or similar belief-centric organizations, and some by informal cultural norms.
This is complicated. We often see "boundary disputes" between these different forms of control. Similarly gaps in the system are immediately occupied by people with strong opinions and loud voices.
And external factors can influence core aspects of the legal, "religious", and social control systems.
You may have noticed me enjoying boundary discussions caused by the effect of science on religion. They happen because science changes much faster than religions can, so there's always some drama while the slower-adapting part catches up. i.e. there's a time element: cultures
must adapt, but not
too quickly.
E pur si muove
(Yes I know it's apocryphal)
BTW: IRL my "greedy lion" scenario is discouraged by evolutionary pressure - lions lack the ability to work up a system of morals. But it's the 21st century, putting a scenario into human terms would probably have taken us into the culture war