No, it cannot.
You have the data plate for the nose case/gear box. The gear box S/N would not correspond with the engine S/N.
https://www.youtube.com/watch?v=T6kTUsTUoZo
Each Merlin would have a data plate that includes the engines Serial Number (yours does not) and that particular serial number would then have had to been mentioned/included in the MACR, Accident Report, etc., to give you any chance of finding its history.
Data plate with S/N.
https://2.bp.blogspot.com/_ial9W4wlK...late+style.jpg
The "X" may indicate "Merlin X", if so per Wiki,
https://en.wikipedia.org/wiki/Rolls-Royce_Merlin
First Merlin with two-speed supercharger, 1,145-horsepower (853 kW) in low gear at 5,250 feet, 1,010-horsepower (754 kW) in high gear at 17,750 feet. First of Rolls-Royce unitised "
Power Plant" installation designs for this engine in 1937
[16] and used in
Handley Page Halifax I,
Vickers Wellington II, and Armstrong Whitworth Whitley V and VII.