If it's the right one, yes it can! This video compares a store bought Trumark slingshot with the original bands against a genuine Jörg Sprave "W" slingshot, rigged up with dual Thera Band Gold bands. Both slingshots are tested against a melon, a small pumpkin, wooden planks and then against a modern brick. The hits are recorded both in real time and in super slow motion.
Of course the homemade slingshot, used in Butterfly style, outperforms the Trumark by far - and yet the Trumark did a good job shooting the heavy 20mm steel balls.