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 temperatue are more stable. NICU staff using this type of progressive care will be able to help you hold your baby effectively. Just ask. See Kangaroo Mother Care for more information.