manage without (someone or something)
To be able to operate, function, or carry on adequately without a particular person or thing. Look, it will be tough, but we've managed without a second income before, and we'll find a way to do it again. If that's your attitude, Jerry, then you can just leave. The team will manage just fine without you.
manage without someone or something
to do as well as possible without someone or something. Carla said that she just can't manage without Jerry. We just can't manage without some more money.