Muppet,
Clearly the answer is yes. The period was POST-WW2, it didn't say built after WW2.
The Spitfire was active in Palestine and indeed got shot down.
The Hornet was in Malaya in the 50s but the glue tended to melt.
The Swift was built as a fighter.
The Brigand was a radar trainer so may not really be classed as a fighter.
I am reminded about the Tempest.
Of course the Javelin was our main night fighter up to 1968.
and the F86 to 1956.