Absolutely. Only direct sunlight can be dangerous because the lens of the eye focuses the light directly on the retina. It's similar to the effect a camera lens has on the sensor. This is sufficient to permanently damage the cells because of the damaging thermal effects. No doubt you've experienced short-term blindness after looking directly into the sun. Your vision is temporarily disabled because the receptors on your cornea are over-stimulated. Looking at the sun for too long can lead to long-term damage.
However, normal light, such as that emitted from mobile or laptop displays, is completely harmless. Even long-term use does not pose any risk to the eye. The reasons? On the one hand, these devices are generally checked for safety. On the other hand, the human eye has built in mechanisms – such as eyelashes and eyebrows – to sufficiently protect it from irritating, overly bright light. Even knee-jerk reactions, like squinting or closing your eyes, ensures an efficient reduction in light. These are all things which you do unconsciously. In other words: your eyes protect themselves automatically – there's no such thing as too much light!