Yes. To be clear, I am not saying you can't do anything without cargo, but if you depend on any crates it makes very little sense to try to not use it. It only really makes sense to try if you have no external rust dependencies, which I think usually either means you're writing a kernel or a toy.
Also, btw, even though I'm saying something vaguely negative about cargo I love that both rust and cargo exist and I've been aware of the work you've been doing since your rails days and always liked what you've done and had to say. Just thought I may as well throw that out there. :)