Yes, although the process isn't quite the same as the sunburn you get on your first day at the beach each summer. Leaves (and stems) of plants adapt to the light level in which they are grown. On plants grown indoors, the leaf size, leaf thickness, and chlorophyll content will be much different from on the same type of plant grown in brighter light outdoors. If the plant is suddenly moved to brighter light, leaves may become bleached or burned from excess sun. Prevent sunburn on your plants by gradually moving them to brighter light over a period of 2 weeks or so.