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.(Updated .)