Why not try it if you have the space and access to organic strawbales. I would just verify that the strawbales have not been sprayed with chemicals as they could kill your garden plants.
To
profit from the space of the bales, you could make pockets of soil in the strawbales and plant strawberry plants that hang over the outside sides of the strawbales and thus the strawbales becomes the growing structure too. Multi-stacking function of your strawbales.