Yes, pain management doctors will prescribe opiates/opioids and other medicine to help you. I was with one clinic for 4 years and I've been with my current pain specialist for 8 years and counting.
My family doctor was prescribing Percocets and Valium to me but after about a year of trying physical therapy and meds he sent me to a pain clinic to take over prescribing my meds. Usually you have to be referred to a pain clinic and have a recent MRI to show them. It looks like you are working on getting an MRI so after that you can ask to be referred. The pain clinics in the northeast where I lived didn't allow patients to call and make an appointment without a doctor's order.
Not all clinics are equal though. Without the best insurance you can get they could cost a fortune because they want to do epidurals, nerve ablations, more X-rays, more MRIs, another epidural, etc. etc. etc. In that 4 year span I had either an epidural or a nerve ablation done every 3 months. I hated that place and felt like a rat that they were doing tests on.
The doctor that I have now knows I won't get better, only worse, and sees no need to send me out for all these treatments. The first clinic did it for money. They prescribed long acting and breakthrough pain meds, plus Lyrica and Ambien, but they tortured me in the process. If your doctor wants you to go to a pain clinic then go ahead of time and talk to people coming out. They will be very blunt about the care they are receiving.
My current doctor takes care of me in all ways. If I'm sick he'll prescribe antibiotics and he takes care of my pain. I'm lucky to have him as I don't believe any other doctor would take care of my pain and anxiety like he does.
Good Luck!