It's theoratically doable but

I use braided stainless steel hoses for refeg in my home, which secures burst free. Applied that to cars,

1) I am not sure you can buy a brake line with braided stainless steel, where did you see it?
2) The brake line is high presure and heat resistance line, I do not think you can make it yourself. There is a federal law specifying what kind of license is required for a shop to make it;
3) Brake reliability is life critical thing, do not mess with it if you are 100% sure what you are doing;
4) If you really want to do it, make sure bleed the lines aftermath.

Good luck