I've had Pdocs that gave me their number.
Most have office staff or a call service after hours.
The one I have now is part of the community clinic so if it's after hours their a crisis number. You tell them you have a clinic doctor and a nurse will talk to you and make a note for the doc. If it's an emergency they would probably tell me to come down to the psych ER to be seen by a on call doctor. I can call during office hours and see if I could get an appointment sooner or do a walk in.

I think what's normal is dependent on where you live and if it's public or private service.