Northwestern and Case Western both have great MSTPs where you can do PhD work in BME. They both say "GRE" required. It's complete BS. Basically, the MSTP program doesn't care, but the BME department is just being a pain in the rear. Once you are actually into the MSTP there for WHATEVER (you don't decide when you start), it becomes a non-issue and anyone can join BME.
So in the end, no. Unless you are planning on applying to PhD only programs, I wouldn't bother with the GRE.