Yes.
Most crash axes, although built to double as fire axes, are more along the lines of a hatchet in size, ranging between 16 and 20 long with a hatchet or tomahawk sized head. The smaller size allows them to be stowed easily and makes them easier to use inside the confines of an aircraft. Several types of FAA approved crash axes exist, but the average size envelope remains the same.
First order of the FAA under a new administration is to allow these axes in carryon, followed by personalizing the TSA aka privatize ‘em.