Oxycodone has required a printed prescription on paper for a long time -- no refills, no phone in. I think hydrocodone (aka Vicodin) was scheduled lower and that made it eligible for phone-in prescriptions and refills without a new prescription, although I believe they recently re-scheduled it to be the same as oxycodone.
I have to sign for every prescription, from opiates to my high blood pressure medication to antibiotics. I can't remember not having to sign for them.
Ironically, I think the dependence on paper prescriptions as being more secure than electronic submission is kind of strange. Surely forging a paper prescription is easier than an electronic submission. I'm also surprised the DEA hasn't just created a mandatory centralized opiate prescribing system where all prescriptions are funneled through them.
I'm not endorsing this, mind you, but they could tighten it down to the point where the only way to prescribe a narcotic is for a doctor to log into a DEA terminal, complete with two-factor authentication, complete the prescription form and have it sent to the pharmacy, all under their watchful eye.