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I believe it is technically possible.
However, too much nutmeg begins to taste unbearably bitter, so much so, that I doubt many people would find the experience remotely enjoyable.
The West Indian island of Grenada actually has a nutmeg in its flag. It's a very important cash crop there. I asked this very question on a plantation tour, and that was the answer I got.
I believe Saudi Arabia has banned the import of nutmeg for this reason...