Kangaroo care is now standard in all major NICUs, and as others have said it depends on the gestation. If the baby is over about 32 weeks and is stable on oxygen then it is relatively straight forward. It involves oxygen tubing, temperature monitor, 3 breathing / heart rate monitors, an oxygen saturation monitor and possibly one or more IV lines too. All of these have to be held steady and stable.
For earlier babies on CPAP it is also encouraged, but you have to be VERY careful that the position of he CPAP mask or prongs is not compromised by the position of the baby. This would be around 28 weeks gestation.
Even earlier, babies are ventilated and kangaroo care is quite difficult. Some units will allow you to do it, but generally the stress of moving the baby outweighs the benefits of kangaroo care. For most babies, the position of the head and neck are crucial to keeping the airways open, and it is very hard to position a baby skin to skin to maintain this. Also, the baby's skin may be too delicate to touch (prone to tearing) and the baby's neurological development not sufficient to cope with touch - so overstimulation can lead to bradychardias and even cardiac arrest.
Having said all that, kangaroo care has immense benefits if it can be done. It helps the baby to regulate their breathing and heart rate (if they are breathing for themselves of course), and the parent's chest temperature changes to keep the baby at the right temperature. It encourages milk production in the mother and strengthens bonding. Also the baby is more emotionally secure - hearing a familiar heart beat and feeling an adult beneath them is reassuring. Lastly, babies in kangaroo care tend to be mostly upright and slightly forward, like sleeping on their tummies but more vertical. This is one of the best positions for breathing if you have dodgy lungs.
Having done it all (my son was born at 24 weeks), we found he was simply not ready for any contact until he was 4 or 5 weeks old, when he could cope with a simple cradle cuddle whilst wrapped in his incubator blankets. At about 8 weeks old he could cope with kangaroo care for short periods, and we built this up until at about 3 months old I was spending up to 8 hours a day doing skin to skin.
I think the thing with Columbia was the higher gestation. No incubators probably means no ventilators too, and no other equipment. If you have a premature baby in the middle of nowhere with no medical support this is definitely the best thing to do. But a baby under about 30 weeks will probably not survive in those circumstances. If you have a premature baby in a well stocked hospital your baby has a much much higher chance of survival - about 50% at 25 weeks. Kangaroo care is still great when possible, but its not always the best thing for a baby who is so early.
Good luck with your pregnancy and I hope you never have to go through having an early baby!