In the Airbus A320 FCOM in some places "LP fuel valve" is mentioned (in Fire and Fuel System chapters) whereas in the engine chapter "LP fuel Shut off valve" is mentioned.
Is there any difference between the two?
The "LP fuel valve" and "LP fuel Shut off valve" are the same valve just being named differently in different sections of the FCOM.
The valve is located in the wing leading edge and is also sometimes referred to as “spar valve” by engineers who also work on Boeing aircraft.
They are the same valve.
The engine has two fuel (shut off) valves:
This is the engine fuel diagram from the FCOM:
As you can see, the LP valve is right at the beginning of the fuel flow diagram. The cold fuel is used for cooling the engine oil (fuel oil heat exchanger and servo fuel heater) and the Integrated Drive Generator (IDG oil cooling). It is also used for hydraulic control. The HP valve is shown at the bottom before the fuel metering unit and the engine fuel nozzles.