Preheat an outdoor grill or grill pan. Grill the pound cake, turning once, until slightly charred. Divide the slices among 4 plates.
Brush the cut sides of the peaches with oil and place on the grill, cut-side down. Grill until golden brown, about 2 minutes. Turn the peaches over and grill until almost soft, about 1 minute more.
Cut the peaches into about 1/2-inch thick slices.
Place a scoop of ice cream on each grilled pound cake slice. Top each with some of the sliced peaches, drizzle with the raspberry sauce, and sprinkle with the almonds. Serve.
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