I assume you are referring to a flat wing, no airfoil.
It has been tried. It will fly, just not very well, it's very draggy, poor glide slope. If you want an easy build, look at Kf airfoils. They are a big improvement over a plank wing.
The Kf wing is a bit easier to build than the Flite Test wing. But the FT wing has a far better glide slope, well worth the extra effort.
https://en.wikipedia.org/wiki/Kline–Fogleman_airfoil