NO, sunburn should be treated always with calming agents such as allantoin, calendula or similar, the calming and auto-inflammatory agents should not be saponified since when these elements are mixed with Lye many of the natural properties are diminished or lost. By the other hand the presence of elements like KoH (Potassium Hydroxide) and NaOH (Sodium Hydroxide) will promote dryness instead of nourishing and moisturizing, which is the opposite you are looking for.