Yes, but it would still be a lot of unnecessary expense. Buying a couple AA's every couple months really isn't that big a problem...
If you buy good quality alkalines, it would only be two, maybe three purchases before you're even. Then you start saving, both your money and the environment. It was a pretty easy decision for me, once I saw how long the Eneloops and Imedions last on the shelf.
Plus, my recycle time goes down to just over a second, and I can do that all day without setting them on fire. 

