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.
Sleep is associated with a state of muscle relaxation and reduced perception of environmental stimuli. Sleep is a naturally recurring state of mind and body, characterized by altered consciousness, relatively inhibited sensory activity, inhibition of nearly all voluntary muscles, and reduced interactions with surroundings. It is distinguished from wakefulness by a decreased ability to react to stimuli, but is more easily reversed than the state of being comatose. Sleep occurs in repeating periods, in which the body alternates between two distinct modes known as non-REM and REM sleep. Although REM stands for rapid eye movement, this mode of sleep has many other aspects, including virtual paralysis of the body.