Cutaneous respiration.
Its not impossible. Many animals such as the earthworm and frog do it.
Respiration of animals in the Phylum Vertebrata, Class Amphibia, including classes such as urodela, anurans, & apodans. It involves respiration through the skin.
Amphibians
the gas that is used is oxygen
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
Frogs have multiple ways to breathe. While underwater, the frog's skin grabs oxygen directly from the water. While it's on land, it uses its lungs, but unlike humans, who use the diaphragm muscle to pull air in, the frog has to puff out its throat to get the air in. This is what causes the iconic frog ribbit.
The same as with any animal (or human) - respiration.
Both have the cellular respiration
Frogs have no proper nose. However, they do have nostrils which are an accessory structure for respiration since frog rely on buccal pumping (breathing with the cheeks) for respiration.
The organ that is part of the frog's respiratory system that is not found in the human respiratory system is the skin. The skin is not involved in human respiration.
Moist skin helps in respiration. A think film of water is formed on the surface of frog, into which the atmospheric O2 gets dissolved and ultimately diffuses into the blood vessels underlying the skin. This is the reason, the skin of frog is richly vascular.