Yes they can, 28 yrs ago, I had 2 lurchers, bitch was saluki grey with little bit of deerhound collie back in the lines, she was racey looking. My dog was 3 quarter grey quarter saluki. they would take daytime hares, lamp deer and rabbits. Never took fox, but i know they would of. The dog I got now is daytime hare dog, but i like lamping, so ive just taught him the lamp. No probs. He will take anything, not sure if he would take a fox. not my game.