Wiktionary
vb. To not want something, perhaps because it would make the situation worse, or would simply be very annoying.
Usage examples of "can do without".
Like most artists, she lives in her head, can do without people for long stretches of time, hates gossip.
If you should have no objection to receive me into your house, I propose myself the satisfaction of waiting on you and your family, Monday, November 18th, by four o'clock, and shall probably trespass on your hospitality till the Saturday se'night following, which I can do without any inconvenience, as Lady Catherine is far from objecting to my occasional absence on a Sunday, provided that some other clergyman is engaged to do the duty of the day.
D' ye think we can do without a navigator that ye go and provoke that beast Bishop until he all but kills you?
In my opinion, that is the maximum I can do without finding myself in dereliction of my other responsibilities.