Duct tape would be likely to sag, unless tensioned so much that the frame would be likely to be pulled out of true. To counteract that you might build a stronger frame, and then you're back to having stringers and wooden covering as usual...
Having said that, it used to be a common practice to use gummed paper strip to cover frames (with stringers) of a round bilge hull, and then shellac the result. Worked for small hulls, but the lack of support tended to result in later flexing...