No the wall thicknes rule of thumb is the wall should be the same thickens as the diameter of the bore. Bore in a mortar being the powder chamber. If you have a two inch diameter powder chamber you need the walls to be 2 inch thick also. 2 inch chamber your minimum safe recommended diameter would be 6 inches.
I didn't see where the material for the chamber was described as 4130 here, but I'll assume that it is since CW mentioned above that it is.
Not to take anything away from the wall thickness rule (I think it's a good one that assures over-building for safety) but is it really necessary for safety in all cases? Material strength and barrel design, not just thickness need to be taken into account.
An example...
A grey iron cannon barrel, 6" OD with a 2" wall would have a bursting pressure of ~13000 psi (using Barlow's formula, a 20000 psi tensile strength and assuming the tube was cast correctly). Let's throw in a 3/8" wall 2.75 OD steel liner that adds 24000 psi to the total strength of the bbl (accounting for the ~6000 psi loss via removal of 3/8" wall thickness of cast iron needed to add the liner) 13K + 24K =
37000 psi. I believe this configuration is acceptable per N-SSA rules.
A 4" OD 4130 (condition N) 1" wall tube would have a bursting pressure of
~45000 psi., and would most likely stand up to repeted firing better than a sleeved cast iron barrel.
Also, the design of this mortar provides a rapid and significant drop in pressure as the ball moves off of the chamber face, which will reduce material fatigue in the chamber material.