I've developed an allergy to coconut milk, am I allergic to coconut?

Hidden_P
So, while growing up I was able to eat coconut chunks, bounties, etc.
When I make curry I usually put a small amount of coconut cream. The other week my brother made a curry with a tin of coconut milk and I came out in a rash. Another brother made me a curry again with coconut milk, and again had the same reaction. I haven't had coconut cream since the first reaction.

Am I allergic to coconut as a whole or is coconut milk different in some way? I'm a bit scared to try actual coconut now to find out...
I've developed an allergy to coconut milk, am I allergic to coconut?
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