Internal destruction COA is not a different type of COA but a different application of it. It is about flowing your haki into the opponent or object and as it get released internally, it does damage from the inside out. Contrary to this, barrier haki involves flowing your haki *externally to coat your body or weapon.
Therefore, to determine if a swordsman can apply internal destruction, it depends on how they are using haki with their sword.
If the swordsman is able to flow haki into the sword till it leaks out then it is very likely that the swordsman can use internal destruction. If the sword is replaced with a stick or handcuffs etc, that much haki flowing into such an object would destroy it from the inside out.