The correct answer is “no.” If you are unlucky enough to have a sunburn that peels, you should resist the urge to peel off pieces of your skin as it heals. Although peeling may seem harmless, it can actually further damage your skin and make it more vulnerable to infection.
Keep in mind that the reason your skin is peeling is that it has been badly damaged by ultraviolet light. Peeling is part of the healing process, where the damaged skin is shed and your body regenerates a new top layer of skin to protect you. While this is happening, your sunburned skin is exposed and vulnerable. So avoid harsh scrubs, coarse washcloths, scratching, or anything else that will accelerate the peeling. (If you have a dead piece of skin that is hanging off and bothering you, it’s best to remove it gently with a pair of small scissors.)
You should treat your skin with a moisturizer after a sunburn. A moisturizer will help speed the healing process, replace lost moisture, and make your skin feel better too. If you are in pain from the sunburn, cool compresses and over-the-counter medication such as ibuprofen can help. To avoid sunburns in the future, always use a broad-spectrum sunscreen with an SPF of at least 30 and reapply approximately every two hours.