Bus,
I used to use one just like the boxed-unit in your photo nearly every day, when I was a sheet metal worker. We punched holes in sheet metals for rivets or screws. "Tin-benders" called these tools: "Whitney Punches," since the most popular brand was "Roper Whitney."
By the way, the first thing we all did, when we bought a Whitney Punch new, was to order an extra set of dies in the 9/64" size, which was not included with the set. Obviously, this is just slightly bigger than 1/8," and we used 9/64" for the most common blind rivet size which was 1/8." If you used the 1/8" die set to punch the hole there wasn't enough clearance, so you had to really force the rivet into the hole, which was a PITA, and took too long. ("Blind" rivets are usually called "pop" rivets today).
But during my time bending tin, I never saw any rivet-setting dies for a Whitney Punch, and we did set a lot of rivets. Obviously, we used pop rivet guns most of all, but when we needed solid rivets or copper or brass rivets, we simply used a hammer and a buck to set them. Keep in mind that rivets often have to be installed many inches away from any edge, so even if you did have some kind of rivet setting dies for the hand tool in the OP's photo, it wouldn't do you any good except on your first rivet on a seam, because the throat wouldn't be deep enough.
On the other hand, at home I have thousands of old solid and hollow rivets, in brass, steel, aluminum, and copper. And my dad left me his rivet tool which used them to fasten brake linings and clutch linings for antique cars. (I even have his old rolls of asbestos brake lining. :-0) That tool has a flat bottom, so it will stand alone on a workbench and can be operated with one hand, while the other hand holds the shoe and brake lining. I'll see if I can dig it out and take a photo when I get home.
