Toss the oil, kale, onion, lemon zest and juice together in a large bowl until well combined. Season with salt and pepper, add the goat cheese and toss carefully so the goat cheese stays in clumps. Set aside.
Sprinkle the chicken generously with salt and pepper. Lightly oil the grill grates. Grill the chicken, flipping once, until lightly charred and cooked through, about 2 minutes per side. Transfer to a cutting board and slice into strips.
Divide the salad among 4 plates and top with the chicken and almonds.
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