even with the technic pieces, the best I can see is to make the framework out of them. Then you would have to "skin" it with something, just like is done with most balsa planes.
that said, these days we have some pretty dang powerful motors. and the air doesn't care if a wing is made out of foam or legos...as long as it has an airfoil it will create lift.
But it would be an expensive project....legos are not cheap!!! When I think back to the legos I had as a kid, I now realize my parents spent a fair bit of cash for them. I think today it is even worse, since 80 or 90% of the lego kits are based on some movie/character...which means extra cost for licensing.