Can the Nurse Practitioner Write a Prescription For Someone Who Is Not a Patient?

Not unless she/he wants their license yanked. One never writes a prescription for anything without evaluating the patient, period. Anything else would be stupid at least and dangerous at worst.

It depends on a number of things... what state you are in, the physician you work under,etc... Most neonatal nurse practitioners deal with infants while in a hospital setting, so when writing for prescriptions, it is usually medication orders/treatment while the baby is actually in the hospital. Have you ever spent time in a NICU? I highly advise you do so... its a completely different world than any other hospital/medical setting.

No they can't and if they did they would be seen shortly after at the unemployment office so fast that they would still have their white coat on.