Can fine artist draw without models?

Most of them can, at least the good ones.
The thing is, if you want a very realistic and lifelike painting you need to use models, otherwise you will have stylised proportions, stylised festures etc. Also no accidental shadow that make your work look more real.

When I get to the level of making huge nice paintings I do plan to use a model for the same purpose.

File: the_ascension_by_jimmulvaney-d5yqj73[2].jpg (201KB, 963x829px) Image search: [Google]

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No, at least not better than Proko can.

Unless you're talking about a regular artist who happens to do life drawing at times, like Michael Hampton, because those can, since they've learned to draw from imagination, perspective, learning the 3D model of the body so they can draw it from any angle, etc.