I'm pretty sure you can just cut it, yeah. Also, don't toss it, just put it on a shelf until the cut heals over (you can forget about it for months it'll be fine) and then you have a cutting that you can replant to have two cactuses!
I've done it on a similar looking cacti and especially on hedgehog cacti. (Peruvian torch)
(Also I'm wondering whether you might be overwatering these a bit.)

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