Wiktionary
vb. To not want something, perhaps because it would make the situation worse, or would simply be very annoying.
Usage examples of "could do without".
She could do without a bra, lacking any size in that area, but panties .
But that was the best they could do without telecom collapsiters, and even the Queendom of Sol couldn’.
She'd always thought falling was something you could do without any lessons.
Thinal himself Rap could do without, but he was potentially four other men, also, and they were handy accomplices in dangerous escapades, as experience had demonstrated, long ago.
His defensive magics, the ones he could do without thinking, had all been of the sort to use against another mage or a creature of magic.
Fades and Trollocs he could do without quite easily, even on the other side of the river, but a whole list of worries would have vanished with the appearance of the Aes Sedai, or the Warder, or, even better, any of his friends.
Well, I think I could do without answers such as the Baldies would know.
Figuring I could do without either, I left, bought scalding, poisonous coffee from a machine, and drank it out in the waiting area facing the autopsy room.