I wanted to cook like smaller meal cuts (korean bbq style) in skillet at gas grill, skillet are use for vegetable and fruit at grill, but will be find cook meal that won't stick with enough oil.
If you're saying that you already have safely used that skillet to cook vegetables and fruit on the grill, then yes you can use it for meat.
I found a grill basket with hole openings to grill smaller foods - almost like a wok but with holes - to use on the grill and often use bite sized pieces of meat along with veggies.