Small Cannons
.
Absolutely! I have an Atlas 10x36 inch lathe and an Aamco 7 inch metal shaper. I have built several working cannon.
Some of the old "Science and Mechanics" and "Mechanics Illustrated" magazines from before 1965 used to have all kinds of neat projects in them, cannons included. You might try "Live Steam" magazine for back issues of a working model U.S. Civil War Parrott gun. The author's name was William F. Green, and the construction plans were over four issues.
Mortars are relatively easy to make, but cannon are more difficult, due to the location of the trunions. Carriages are fairly easy if you can do woodworking.
There is a great book called "Round Shot and Rammers" that covers muzzle loading artillery, and has lots of detailed plans and drawings in it. You might be able to pick up a copy on E-bay, as they are out of print. There may be some in librairies that you could photocopy plans out of.
Start small......under one inch bore diameter. The larger you go, the powder charge increases dramatically, so the smaller models are more economical.
USE ONLY BLACK POWDER, NEVER EVER SMOKELESS.
.