Yes, but the odds of having both is quite miniscule.
(Updated .)Keyword: celiac sprue
Are celiac sprue and celiac disease the same thing?
Celiac disease was called celiac sprue long ago. Celiac disease that doesn’t respond to a gluten-free diet is called refractory sprue or refractory celiac. There is another disease, which is completely unrelated, called tropical sprue.
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