AN A320 DOOR WAS CLOSED BY CUSTOMER SVC BEFORE THE MAINT RELEASE WAS RCVD FORCING MAINT TO USE A LIFT TO DELIVER THE REQUIRED DOCUMENT.

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WE ARRIVED FROM INBOUND 42 MINS LATE DUE TO LATE INBOUND AT ZZZ. ACFT ACARS WAS DEFERRED AS INOP. WE WERE STILL ATTENDING TO COCKPIT SETUP WITHOUT A VALID MAINT RELEASE WHEN WITHOUT ANY COORD; THE CUSTOMER SVC AGENT WITH A SUPVR STANDING NEXT TO HER CLOSED THE DOOR AND PULLED JETBRIDGE AWAY. I OPEN THE WINDOW AND YELLED TO THEM TO STOP; ADVISING THEM THAT THEY CAN'T DO THAT. THE CUSTOMER SVC AGENT JUST SHRUGGED AND SAID; 'I FORGOT.' I THEN MOTIONED TO SPEAK TO THE SUPVR AS TO THE INAPPROPRIATENESS OF THIS NON-STANDARD CONDUCT. THE CUSTOMER SVC SUPVR JUST BLEW ME OFF AND THEY CONTINUED TO PULL THE JETBRIDGE BACK. WE ARE UNABLE TO PRINT A NEW MAINT RELEASE AND WITH THE JETBRIDGE PULLED BACK; MAINT IS FORCED TO DRIVE A MECHANICAL LIFT UP TO THE SKIN OF THE ACFT AND RAISE A PLATFORM/MECH UP TO THE COCKPIT WINDOW IN ORDER TO GIVE US A VALID MAINT RELEASE. ALL THIS CAUSED DUE TO THE NON-STANDARD ACTIONS OF THE CUSTOMER SVC AGENT UNDER THE WATCHFUL EYE OF A SUPVR WHO ONLY CARED ABOUT ON-TIME...PERIOD! THIS RESULTED IN AN UNNECESSARY RISK OF ACFT SKIN AND GND EQUIP CONTACT. THIS CREW PUSHING BEHAVIOR AND TOTAL DISREGARD FOR SOP'S CERTAINLY INCREASES THE LIKELIHOOD FOR A SAFETY INCIDENT (NOT IF; BUT WHEN). CUSTOMER SVC IS BEING PUSHED BY MGMNT FOR ON-TIME DEPS REGARDLESS OF SOP'S AND POSSIBLE CONSEQUENCE. ON MY PREVIOUS TRIP MY FO AND I WERE INTERRUPTED DURING OUR COCKPIT SETUP BY THE #1 FLT ATTENDANT; STATING THAT SHE WAS BEING DIRECTED TO ASK ME TO CONTACT THE CUSTOMER SVC AGENT AT THE PODIUM TO DEAL WITH A BOARDING ISSUE; AS SHE COULD NOT STEP OFF THE PLANE DUE TO MINIMUM STAFFING. MY ANSWER TO THIS REQUEST WAS A SIMPLE NO! I WILL NOT INTERRUPT MY COCKPIT FLOWS TO SORT OUT BOARDING ISSUES DUE TO ACR MANPOWER (INFLT AND CUSTOMER SVC) REDUCTIONS. AGAIN; THIS IS A MAJOR DISTR TO THE COCKPIT AT A VERY BUSY TIME; AND WILL EVENTUALLY LEAD TO AN INCIDENT.