I don't think so, but that's how I think it should work. You can also leave instructions for the executor of your estate to carry. So, if you didn't want your organs removed, you could specify that before hand.

That would mean that whoever inherited your estate could donate your organs... is that the case now?

Aardvark

AskSN

Should organ donation be made compulsory?

No, your body is part of your estate and the state is not inherently entitled to it.

As will almost all of these questions, markets fix this. If the medical sector just acted normal and purchased their organs from willing sellers, we wouldn't need to ponder questions like this.