Short answer is yes - 145FLK is one of two 'FLK's' owned by Paul Smith, former Chairman of the P6ROC, from Dartford, Kent.
Amazingly he discovered it within a couple of miles of his home in a derelict condition in the very early 1980's, and restored it from there.
Registered by Rover via the depot at Seagrave Road, Fulham, it's part of the batch of 40 cars or so which were sent to the press and used in most of the original publicity photos. She's chassis number 80, built 27th August 1963. Base unit number M 000063!
Supplied to 'Rover Publicity, Solihull'.
She is, and has always been, City Grey with a red leather interior.
These are really pre-production cars, they have hand-stamped chassis numbers and small detail differences to the proper production 2000's, which didn't really start to be produced in quantity until early 1964.
Paul also has 148FLK (I think), another one of the fleet, which he restored in the Noughties. She is identical apart from having a biscuit interior IIRC.