No. For a start, it is a complete myth that anything called a 'truck' in the US will automatically be called a lorry in Britain. In fact, a lorry is a fairly specific vehicle : it's large (often articulated) commercial haulage vehicle for the long-distance transportation of goods/freight. If it doesn't do that, it isn't a lorry.
In many cases, what an AmE speaker would call a truck would also be called a truck in Britain, or else something different entirely, such as a 'van'.
As for the paving truck, I agree with Paul that 'paving lorry' is wrong. ( Unless, of course, it's a haulage vehicle transporting paving material from one part of the country to another).
Paving truck or tarmac truck sound OK. Or else, paver or asphalt paver.
(Just out of interest, I googled 'paving lorry', and got one hit. One. Out of the vastness of the internet, one story from the 'Arabian Post' website. I think that counts as not existing if you only get one source. Not including a redirection to this very page on italki!)