Cook the rice according to the package directions.
Twenty minutes before the rice is done, heat the oil in a large skillet over medium-high heat. Add the tomatoes, cut-side down, and cook, shaking the pan occasionally, until browned and starting to soften, 3 to 5 minutes; turn and cook for 1 minute more. Transfer to a plate.
Reduce heat to medium and add the chard, raisins, garlic, 2 tablespoons water, ½ teaspoon salt, and ¼ teaspoon pepper to the skillet. Cook, tossing, until the chard wilts, 2 to 3 minutes.
Return the tomatoes to the skillet, add the chickpeas and lemon juice, and toss until heated through, 1 to 2 minutes. Serve over the rice.