Taking lightweight EDFs to the extreme is a VTO.
Right at the end of WWII Von Braun added wings to a V-2 so it could glide and extend its range. Tw owere actually built and flown in late 1944.

Could I make an RC EDF version take of vertically?
It took a bit of development but ended up with.

All made of 3mm Depron sheet..A 70 mm EDF in the tail with 4 big cheat holes between the fins with a 4s LiPo right in the nose for balance.
It has a gyro but set to rate only so no "hands off" stability to allow it to convert to normal RC flight and a belly landing.
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The torque of the EDF is such that it spirals in the climb. Un expected but at least it keeps it pointing more or less straight.up.
It flies om much reduced power so can cruise for a reasonable time..