No you should definitely apply to an engineering major you think you'd be interested in. I'm currently an engineering major (nanoengineering). Its hard and you have every right to be scared, but its also well worth the effort. Most of the classes are all about applications in the real world. Its probably the best major to take as an undergrad and most rewarding.
Honestly, just go for an engineering major, most of the first year undergrad classes (math/physics) are applicable to each one, so you won't miss out that much if you want to switch engineering majors.
I'd suggest computer science if you're looking for great internships and great job prospects after graduating. But follow what you believe in and get involved in college and have fun. If you find engineering too hard or not interesting, just switch.