Black screen means it absorbs everything. Because it's a translucent body consisting of a few layers, the light simply gets trapped within the layers and is not reemitted into our eyes. We perceive that as black.
If you want to make it whatever color, you need a not translucent screen, so the photons are partly absorbed and partly reemitted. Then we have some photons in our eyes and sensations that can be interpreted by our brain as information/color/whatever.
The screens of e-ink utilize that. But they're slow.
So to answer your question, no it's not possible to make ordinary screens to have a color, except there's a solid body in front of the layers to absorb and reemitt the photons.
To build a screen like that, one would need a backlight. No matter where it comes from. Or, inverted LCD on a white plane that alters the refraction when there's a current flowing. That would consume more energy because all the pixels need to be constantly powered (and after powering off, they would automatically alter their refraction..)
So, no..
What about constantly low powered screens like Samsung's the frame?
You can get monitors using those technologies if you don't want it to be black when off.
And for some use cases, placing a sheet of white paper over the display might be good enough. Good luck.