Engineering is one of the most versatile qualification you can acquire, where you can apply to roles ranging from traditional engineering to investment banking or political positions. Engineering also providing you the ability to apply to nearly any role as it helps you develop vital transferable skill sets. But note that engineering courses will only focus on one area and you may need to complete multiple course to make full use of a engineering background.
Engineering also has many types. Therefore, there is a engineering type for everyone, from people who love planes to ones who love buildings to others who love robotics. Thus, If you enjoy mathematics and physics then there is definitely a engineering type which you will enjoy.