To cut a long story short - no
Assuming failure of outflow valves to maintain cabin pressurization in whatever situation due to excess leak or failure to pulsate effectively to maintain pressurization the cabin altitude in a steady FL wil continue to rise in accordance with the amount of leak (either via fuselage or partially stuck open outflow valve)
The positive pressure relief valve is a mechanical device. It has an air filter and two ambient pressure sense connections. The air filter supplies cabin pressure to the valve. The ambient pressure connections supply ambient pressure to the valve
When cabin pressure differential at the remote ambient pressure sense port increases to 8.95 psi, the relief valve opens. This permits air to go out of the airplane. If the remote pressure sense port does not function, the relief valve opens when cabin pressure differential at the integral ambient sense port increases to 9.42 psi.
When cabin pressure differential goes below the limit, the positive pressure relief valve closes
The negative pressure relief vent opens when cabin pressure is less than ambient pressure. This prevents negative cabin pressure. Too much negative cabin pressure could damage the fuselage structure.
The negative pressure relief vent is a spring-loaded door. The door starts to open at a differential pressure of 0.2 psi. It is full open at a differential pressure of 0.5 psi
Whay would be interesting to see in simulator in cruise if both packs go off & outflow valves fully closed, how long does it take for depressurization.