Of course you can grill them, just watch the heat. More than likely, they'll cook in about 2-3 minutes.
Marinate them first, this way they'll have developed flavour. The short cooking time won't impart much flavour, but the marinade will.
If you get one of those grill accessories that looks like a baking sheet but has small holes in it, you could stir fry on your grill. Slice some vegetables on a thin bias, sauté over the fire, remove to a plate. Do the same with an asian marinaded turkey cutlet (cut into strips), and then toss in the vegetables for another minute. Serve that with rice.
How can we sleep while our beds are burning???