I feel like this is a stupid question, but would coconut oil affect someone with nut allergies?

It hasn't bothered my peanut allergic son so far.

Most no, some yes.

You can be allergic to coconut, but it is not actually technically a nut.

http://www.thaifoodandtravel.com/features/coconutis.html

Coconut is a fruit (or maybe it's a seed -- but it's definitely not a nut!) -- but if you are using oils, there could be mfg. cross contamination from other nut oils.