Depends on the officers booking you.
First, you are not entitled to a phone call unless it is to a lawyer
Last time I was arrested (it was college, give me a break), I was not allowed to make the call from my cell phone, but the booking officer did get it from property for me so I could look up a friend's number in order to call for a pick-up.
The pay phone in the holding cell did not work, so all calls had to be made from the desk and it was at the officers' discretion whether to allow it of not - if you couldn't get a ride, you got to go to court the next morning. If you could, and if you were allowed to make a call and get PR release - you at least got to show up to court showered
"The best diplomat I know is a fully charged phaser bank" - Montgomery Scott