General Jumbo wheels and their rivals in the market place, Firestone and Goodyear, were available in bolt patterns for almost every car made in America at the time. I've never seen mark-branded hubcaps for them, just caps with the tire maker's names on them, but I haven't seen everything!
That cap looks like it fits a wood spoke wheel. Except for the logo it is the same as mopar wood wheel caps in '32 and '33.