Absolutely! That would be great for yourself and the community. Medical engineering is constantly being developed and lot's of money is being invested in this area. A person with a dual degree would have a big potential both with research hospitals as well as in the medical industry.
The challenge is how to finance your studies over an extended period [expect 5 to 10 years in total] since it is unrealistic to get a higher engineering and medical degree in parallel. What I'd do is choose one to start with and complete that education. Then I'd do some work and start working on the second degree a while later, maybe at half time and work half time too.