"You can't get there from here" may well show up in versions of "The Arkansas Traveler," but I suspect they're modern folkie versions. A search of various databases doesn't turn up the wisecrack, in those words, before the late 1920s, and it doesn't seem to have become really common till after World War II.

Ogden Nash used it as a book title in 1958. That could have doubled its popularity.