No, Chapin parts cannot and should not be used with any B&G sprayer units and vice versa. We carry all replacement parts and wands for both B&G units as well as Chapin. If you need just the wand replaced on your B&G sprayer you would need to purchase either B&G Brass Extension 8" Part VE-154, or B&G Brass Extension 18" Part VE-155, or B&G Brass Extension 24" Part VE-164 depending on the wand length you want or currently have on your sprayer. You may need to also purchase the replacement cord that goes inside the wand for the appropriate size under B&G Valve Cable.
We do not carry the Craftsman brand line to know if the parts are interchangeable with Chapin Curved Poly Extension Wand with Viton 12 in. (6-7748). This would be a better question for the manufacturer directly. You can reach Chapins Product Support by calling 800) 444-3140 Opt. 1.