Since Johns Hopkins was in the title of your thread, it may well be your first choice. Just make sure that you are sure that it’s your top pick and tat your family is able and willing to afford the price that the Johns Hopkins NFC calculator gives as the expected family contribution.
In the FAQ section of its admissions page, it seems as though biomedical engineering is the only impacted major. You can list it as your choice, and if you don’t get the major, you can still be admitted to the university and select an alternative major. Two things of note from their page:
Early Decision applicants who applied but were not admitted to the BME major have two options. You may choose to still enroll at the university, selecting any other major of your choice; or you may be released from the Early Decision contract and apply to other colleges.
So you’re released from the “binding” portion of ED if you don’t get BME.
If spaces open up in the BME major at the end of your first year, the Whiting School of Engineering will contact all Johns Hopkins first-year students regarding spaces available in the program and the process for internal transfer. This occurs rarely and most students are advised to enroll at Johns Hopkins with the knowledge that transferring into BME is a highly competitive occurrence.
There are other majors like chemical & biomolecular engineering, biophysics, materials science & engineering (which I’m betting might be involved with prosthetics and the like), if you don’t get BME. So, some food for thought.