We don't construct cars, but we have some companies here, Siemens has wiring factory, CIE Forge is manufacturing engine parts for VW concern, And some super specialized CNC workshops manufacturing parts for car industry too. But it's not a major contributing factor for economy.
Such small country does not have proper car industry, but there are some local electrical trolleybuses made(maybe few dozen a year), or some parts for automotive industry - like continental tire factory in Kaunas, some parts made for mercedes, etc, etc...