In a small bowl, whisk together the olive oil, lemon juice, honey, salt, and pepper to make the dressing. Set aside.
Lightly brush the peach halves and halloumi slices with olive oil.
Place the peach halves and halloumi slices on the preheated grill. Cook for about 3-4 minutes per side until grill marks appear and the peaches are slightly softened, and the halloumi cheese is nicely browned.
Remove the grilled peaches and halloumi from the grill and let them cool slightly.
Slice the peaches into wedges and cut the halloumi into bite-sized pieces.
In a large bowl, combine the mixed greens, grilled peaches, halloumi, and toasted almonds.
Drizzle the dressing over the salad and toss gently to coat.