Its not impossible. Many animals such as the earthworm and frog do it.
Cutaneous respiration.
Respiration of animals in the Phylum Vertebrata, Class Amphibia, including classes such as urodela, anurans, & apodans. It involves respiration through the skin.
A frog is an amphibian, but adult frogs do not have gills. They absorb oxygen from the water through their skins, using special blood vessels. If the oxygen level in water is too low, frogs will move around to increase the water flow across the skin. Some frogs have creased skins that can increase their surface area. (see related question)
amphibians use several different methods of respiration depending on their species and age. 1. cutaneous respiration 2. buccopharyngeal respiration 3. pulmonary respiration 4. gill respiration
NO!!! Dolphins have lungs as do all mammals and cannot breathe through their skin. Yhey are obligate lung breathers.
Cutaneous Membrane
glandular skin has many glands Amphibians have a smooth, glandular skin, but they have adaptations for cutaneous respiration, requiring the skin to be kept moist
Thermoreceptors
Cutaneous pathology is pathology of the skin, also known as dermatopathology.
Frogs have cutaneous type of respiration i.e respiration through skin.Some species have lungs,but very rare in occurence.To know practically,take a frog and cover it completely by a blotting paper.After some time the frog dies
similar to sensory receptors in the body, they recognize a change in stimulus
Cutaneous tissue is also called dermal tissue and is the skin