I'm sure it is possible, but I haven't tried so I cannot say for sure what modifications you would need to make, if any. If you do try, make sure to use gluten-free flour that is meant to replace all-purpose flour for baking. The 1-to-1 or cup-for-cup style flours are what I would personally use. And use certified gluten-free old-fashioned oats. As an aside, this is almost a vegan dessert, shy of the butter. I bet a vegan butter substitute like the Earth Balance sticks would work, although I haven't tested them.