[David_Hayward (RIP)]

I will check my 1942 Dagenham i.d. chart in a minute but unless I say otherwise, the answer was "no". They did assemble some 1941 Canadian models: model EC196TFS 3-ton 14’8” 2-speed rear axle and 7.50 x 20 tyres for Canadian Forestry Corps based on the C196T...so they assembled the 1941-style cabs.
Otherwise they had the W0T cab:

W0T2 A GS infantry truck aeroscreens and a sheeted rear body (no tilt frame)
W0T2 B As the A model but with a tilt frame covered rear body referred to as a van body
W0T2 C evolution of the A model, but still with aeroscreens and other small changes.
W0T2 D as the B model, but with windscreen changes again. Still tilt frame and cover.
W0T2 E Infantry truck, fully enclosed cab and full windscreen, wooden body, tilt frame and cover.
W0T2 F As E but without the tilt frame and cover and with a steel body. Still titled infantry truck
W0T2 H Appears similar to the to the E model but possibly with out the tilt frame and cover.
W0T3 11’ 11” 30-cwt.

They also assembled 1940-cab trucks:

EC098TFS 3-ton original designation of C098TFS
EC098UFS as EC098TFS but with Tipping Gear and body based on C098U with 2-speed axle and 10.50 x 16 tyres