Yes you can. Food Saver has a mason jar attachment that vacuum seals mason jars. For fine powdery foods I place a coffee filter (The brown unbleached type)in the top of the jar.
http://2footalligator.blogspot.com/2012/08/vacuum-sealing-dry-foods-in-mason-jars.html
http://preparednessadvice.com/food_storage/more-on-the-food-saver/#.UIIpdG9G_sg
They scrunch up into some odd shapes, and likely the flour will have to be sifted before use, but it works.
As always, store at a constant, and preferably cool temperature, and out of the sun. (I know you know this, but not everyone reading this thread might.)
The only drawback to the bags is that critters (rodents, especially) can ruin them fairly easily, so store the bagged stuff in a metal container (like those big popcorn tins you see this time of year) to keep them undamaged and in the dark.