Preheat an outdoor grill for medium heat and place a large sheet of aluminum foil on the grate.
Melt butter and honey in a small saucepan over medium heat; reduce heat to low and cook gently, stirring occasionally, until slightly thickened, 3 to 5 minutes. Do not let sauce boil. Set aside.
Thread 1 peach quarter, 1 plum quarter, 1 banana piece, and 1 strawberry onto each skewer. Place skewers onto the prepared grate on the preheated grill; spoon honey sauce over each skewer.
Cook on the preheated grill until fruit is softened and sauce has thickened and cooked onto fruit, about 5 minutes. Flip skewers, spoon more sauce over each skewer, and cook about 5 minutes more.
