I suspect that is an Allergist question. However my son has the same thing and can eat coconut as well as nutmeg.

I have a close friend that is allergic to peanuts and tree nuts. While she can safely eat coconut, she finds that a lot of products use tree nut oils in conjunction with the coconut. Fresh coconut or coconut milk are fine, but she worries about the coconut oils. It is tough to say though - the allergy can be very different from person to person. She didn't mention anything about nutmeg, and I've baked with it many times for her.

Tread with caution, but both should be fine. Neither are actually nuts. Good Luck!

I am tree nuts and cannot have coconut or nutmeg

Coconut is a fruit, and nutmeg is a seed. Talk to your allergies about it. I am allergic to tree nuts and I am fine with both.