When waiting for your health insurance company to allow your pharmacy to fill a new prescription, is there any way to make the wait shorter?

I was prescribed to Celexa and Adderall recently at my family doctors, and when I went to go pickup the prescriptions from the pharmacy, they said that my insurance company had to grant them access to dispurse it to me. According to the pharmacy, my doctor had to call and send over paperwork to my insurance company and wait on them to review it and grant access. Then the insurance company were to call my pharmacy and okay it for them to give it to me.

Well it’s now been five days, and I’v called and checked that my doctor sent over the information AND filed a complaint with the insurance company, hoping it would speed things up, but nothing has come out of it yet.

Does anyone know if there’s something further I can do to ensure I get my prescriptions soon?