In order to build such a craft you would have to incorporate some sort of diagonal stiffener into the structure. There are two main ways of doing it, using diagonal bracing on top of a conventional stringer frame structure, or by using a geodetic (geodesic) frame, with or without longitudinal stringers.
Both can be done in wood only, either by steam bending or laminating. The connections can be mechanically fastened or glued.
For the skin there is PVC and hypalon coated fabric available, as used on inflatable boats or trailer covers.
Since we're already discussing the topic, let me tell you that light and flexible are actually myths.
Leather weighs somewhere in the range of 800-1000+ kg/m3, it is heavier then meranti or birch plywood. Kayaks that were used in the arctic didn't skimp on leather thickness, they had to be able to go trough thin ice. The 36ft currach Brendan used 1/4" cow hides, doubled on the stern and quadrupled on the bow.
Traditional lashed boats have always gone to great lengths to ensure the lashing is as thight as possible and the joint as rigid as possible. Leather/rawhide lashings are done wet, the material shrinks when dry. Coir rope feels and grips like sandpaper and the knots used tighten themselves when wiggled. Also, a lot of the joints where also pegged in addition to beeing lashed. More modern currachs have copper riveted frames.
Where do the myths come from then?
Flexibility comes from the scantlings used. Thin wood is flexible, that's all. Viking ships are also said to flex on the waves like an inflatable, and they are riveted and pegged wood. Flexibility is a relative thing, fiberglass and carbon laminates are actually very flexible, just look at what a fishing pole can do. A car tire is flexible, but that doesn't mean you can fold it like a T-shirt. And after coating the modern ballistic nylon skin, the result can't be either, at least not without cracking the coating and loosing waterproofing.
Lightness comes from comparison to carvel boats, wich need a minimum skin thickness in order to hold caulking (about 5/8"). Caulking also madated the planks edges beeing kept in alignment, wich means tight frame/rib spacing, and why you don't see longitudinally framed carvel boats.