Answer: The answer depends upon how large your plants are. Obviously, broccoli needs leaves for photosynthesis. Without leaves, the plants will die. However, it's possible your plants will replace the missing leaves so I'd give them a week or so to see what they do. If they have enough energy to produce new leaves, you'll see some leaf buds beginning to swell on the stalk. If they don't show any potential in a week, I'd remove them and replace them with healthy new plants.
Best wishes with your veggie garden!
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