I should think so. If your Enfield's bore was .577 it would probably be pretty close. But as mentioned, Chiappa Enfields are made in .58 caliber (that's what their website says) and consequently balls of .570 to .575 would be closer to what you want.
The point of the minie, or "expanding" ball, is that they are sub-caliber to allow for quick loading, but the force of the explosive gasses forced into the base of the ball forces the "skirts" outward, tight against the bore, and catching the rifling of the bore, etc.
This was advantageous as previously, the round ball had to fit pretty snug, and was patched, so required two-hands to ram (as given in the pre-war military manuals like Scott's abstract). The "expanding" or minie balls, being of a reduced diameter could be loaded quickly (like a musket), and without any patch necessarily, and in spite of fouling from previous shots as the skirts of the ball only expanded to the bore diameter on firing. Firing with patched round balls required the bore to be wiped every few shots at most.
IN the United States service in the Civil War, every 10th round (one in each packet of 10 cartridges) was a patent cleaner bullet, with a zinc tail designed in a measure to aid the ball in scouring the bore somewhat in firing...
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I've taken that to mean that in common modern shooting, wiping the bore every several shots would be best to avoid a jam in loading (which is a VERY bad and troublesome thing!)
Wiping the bore between each shot is a great way to prevent the possibility of accidental discharges, etc. (if you are inclined to fire quickly in succession) and keep things running smoothly.
It's been a looong time ago, feeling bold, firing without wiping to see what happened. I got off about 20 shots before the fouling became a real problem. Though I cannot recall the exact diameter of the minie's I was shooting.