I just heard of engineering physics, and thought it might be something I want to do. But I also heard that hard sciences like physics, and engineering are very competitive. Is engineering physics competitive as well?
By competitive do you mean that it is a really difficult major? The answer is yes.
Case Western Reserve University has Engineering Physics. I think it is a relatively new major so there may not be as many people majoring in it. It will be as difficult as physics/engineering and will require the same kind of STEM classes in HS.