Turok would need to have a PC version with an official source code released. Which I believe there isn't.
Simply put: No. Unless there happens to be an official source code for the game out, then someone would surely put work into it if there's enough interest.
EDIT: A Quake port exists simply because of the source code, plus Quake is well optimized and flexible enough to work on pretty much any system. Just because they have similar graphics doesn't mean it can easily be ported.