Yes, I know it's possible.
But nobody makes consumer products that way. It's all about cost and highly flexible cables are almost always thin, cheap, and crap quality.
And it's not only about the copper. It also has to do with the insulation and dielectric components. Some HF cables user air as a dielectric -- it's really flexible and cheap! Bending the cable around a tight radius is very easy. But it clobbers the HF performance.