There are no limitations. Your career will take you where it will 🙂
I'm an EE by the way, but have two brothers who are MEs. Both are upper management types at this point in their careers.
It seems like upper management is when engineers really make the big bucks, is it not? I'm a comp engineer, debating on getting masters in engineering management or an mba. Just wondering if it will be worth it in the long run.