Yes, they do normally Andy. But for the movie, the wing tips were 'squared off', wing fences and original cannon fairings removed, and tail plane braces added, along with dummy cowl guns and wing cannons. One of the two shown has the original, rounded tips, and the other the movie, 'square' tips.
There is also a '108 at Duxford, plus another in the UK, both in Luftwaffe markings. The one below is the Duxford example.
There are a number of Yak 'trainer' types in the UK, some in 'Soviet' markings, and Yak UK are based at Little Gransden, just 'up the road' from Duxford.