NO, not necessarily. I have run bullets through a "Cracker tool" reloading sizer tool , and I have also made due by putting the die in a vise, and using a mallet to hammer the bullets through the sizer. Usually,with soft lead, it doesn't take much strength or effort to get them to go through the die. The die looks like a hollow pie, that is constricted. The open end, where you start the bullet, is much wider than the other, and it squeezes the bullet down to the shape of the die's barrel. Its the same principle as choke in a shot gun. I once set up a screw on vise, on a pice of 3/4" hardwood board, clamped to my kitchen table with two C-clamps, to support the die, while I pushed several test slugs through it. I have a yankee workbench now, one of those things that can be folded up, but has a table top that parts in the middle and a screw that tightens and loosens the two boards so you can clamp wood in it for cutting, or other projects. I would probably use that, rather than the C-clamps on the kitchen table for this work, if I didn't have a work bench in my garage where I can mount a bench vise permanently.
Once you know your bore diameter, check with the N-S skirmishers, and the Civil War re-enactors about where they get their sizing dies. They have folks that make these dies specifically for those guns. Perhaps someone in that field will respond here and tell you the name of the company that makes their dies. I read about them here a few weeks ago, and I recall that you can usually find them at any of the large re-enactment events by visiting commercial row. If the dealers don't have what you want, they can get it, or tell you where to find it. Nice people, too.