Yes. If you are able to hold your baby, you can do skin-to-skin. Tiny babies on breathing machines, IVs, and heart monitors can often be held skin-to-skin. In fact, they often do better in this position: their heart rate, breathing and temperature are more stable.
Most dreaming occurs during the fourth stage of sleep, known as rapid eye movement (REM) sleep. REM sleep is characterized by eye movement, increased respiration rate and increased brain activity. The American Sleep Foundation suggests that people spend approximately 20 percent of their total sleep in this stage.
There are two basic types of sleep: rapid eye movement (REM) sleep and non-REM sleep (which has three different stages). Each is linked to specific brain waves and neuronal activity. You cycle through all stages of non-REM and REM sleep several times during a typical night, with increasingly longer, deeper REM periods occurring toward morning.