Video game movies rarely do well, even if they do have their origins in comic books, and it isn't clear which Turok they are going with. However, a Native American hunting dinosaurs and an evil cyborg is just so crazy, it might work--and as I have always liked Beach, I will root for his dream project.
Most adults, especially women, have little desire to see men vs. monsters via CGI. I'm guessing Turok won't work if that's all it has to offer.
If your pseudo-scientific story has strong themes and characterization, you may end up with a hit like Jurassic Park. If not, you'll end up with a schlocky movie such as Raptor or Pterodactyl that no one's ever heard of.
For more on the subject, see The Best Indian Movies.