It couldn't hurt to ask one of the nurses, but I honestly doubt it. I volunteered in the nursery in my mother's hospital for a few years and they only ever let me answer phones and do other secretarial-type tasks.
Call or visit the hospitals in your area..I know some Volunteers rock babies born to drug addicted mothers and have trouble with withdrawal...not sure about feeding....
Usually, the mothers feed the babies, unless it's a special case. You can, however, ask if you can volunteer in the nursery assisting nurses with other tasks.
If you find out that they let you tell me cause i wanna do it aha. ;o