Similar to "calling shotgun" in vehicle seating preference. "I call no bitch" means that you do not want to "sit bitch" in a vehicle. To "sit bitch" means to sit crammed between two people on a bench seat in a car/truck/van.
As we were walking back to the van I was the first to shout, "I call shotgun/call no bitch!"
by MoranTactical November 11, 2013