No. What Sri Lankan universities have is a degree in Mechanical Engineering. First degrees offered in engineering streams by Sri Lankan Universities are BSc (Bachelor of Science) degrees and are not BEng (Bachelor of Engineering) degrees. While the difference between the two degrees is nowadays virtually non-existent, the BSc degree provides an overall view of the fundamentals behind a particular stream of engineering.
I studied mechanical engineering at University of Moratuwa from 2001-2004, and our course focused on Thermodynamics, Mechanics of Materials, Fluid Dynamics, Mechanics of Machines, Fundamentals of Production Processes, Basic electrics, electronics and computer programming, Engineering Mathematics, Fundamentals of Robotics and control systems etc, together with lessons on basic automobile engineering (combustion processes, engine configurations, fuel injection and carburetion) Naval and Marine Engineering (ship building, Ship engines, pumps and material movement systems, various shipbuilding and loading calculations etc), and so on. The degree was more focused on the Science aspects rather than the practical aspects. Anyone who wanted to specialize in a particular area had to either enroll in an MSc program (local or abroad), or gather knowledge and experience while working in the industry.
From what I understand, BEng degrees are more focused on the practical aspects of the discipline. There's a plethora of UK universities offering BEng degrees directly in Automobile Engineering.