No it’s wooden except during the last war when there was a shortage, and it was made of rubber
That would have made it a very bouncy ride...............ha ha
The story about a wooden chassis is a result, I was told, of confusion caused by the word the Brits and the Americans use to describe bits of a car.
We say chassis, they say frame.
A Morgan has a wooden coach built body with a wooden frame. Wooden frame (UK) = Wooden Chassis (USA)......
And so the legend grows....