And can an F35 land in a clearing in the woods?
No. Neither could a Harrier, unless somebody had already laid a hard standing able to take a 7 tonne weight being dropped onto the area of three A4 sheets of paper. They did experiment with a sprayable compound to harden the ground, carried in pods under the wings, but that wasn't realistically practicable for military operations (you can imagine the comical mess when spraying araldite from a hovering Harrier).
All the pics of Harriers in the woods tended to be on specially hardened roads around RAF Gutersloh or similar.