Yes, most veileds enjoy at least some type of greenery. My girl Charlotte used to chow on her hibiscus plant all the time, she loved the flowers the most. Occassionally she would try fruit but hibiscus was her favorite.
Mines loves herbs such as mint, basil and parsley. He also loves orchid plant flowers. He is obsessed with moss, so I had to stop putting it in his cage. It's not harmful, but he'd eat so much of it he would have moss hanging out his poop
Oh and water cress, especially if you heavily mist it, he loves it and it's good for hydration.
Chameleons apparently love blueberries, but I've yet to test this theory