No, the point of a polling station is so that there's provably no coercion. You fill out your ballot in secret, you're not permitted to take a photograph of it, and you place it in the ballot box without telling anybody what you've voted for.
The more you allow people to vote from their homes, the more likely it is that people can be coerced into voting the way their partner, employer, or otherwise, want them to.
You missed one important criterion. After you vote there is no way for you to prove who you voted for. If you could verify it after the fact then it opens up potential for coercion or incentives.
>You fill out your ballot in secret, you're not permitted to take a photograph of it, and you place it in the ballot box without telling anybody what you've voted for.
In the US, only one of those is guaranteed [0]. In California, where I can get an absentee ballot just by asking for it, none of those is guaranteed.
The more you allow people to vote from their homes, the more likely it is that people can be coerced into voting the way their partner, employer, or otherwise, want them to.