What is the path to a successful career in bio-engineering?

I would add - if you want to go into a technical major like engineering in college, make sure that you bulk up on your science and math classes in high school. Get as many calculus/physics/chemistry/bio/etc classes in as possible, and take the AP exams to pass out of the college level classes. The more science/math credits you go in with, the more time you'll have to concentrate on the much more interesting classes and/or research that you will come across in undergrad.
As far as being successful in your career, I agree with David (above). Communication skills are of the utmost importance!

I would recommend finding places you can shadow at, or volunteer at. Nothing beats bio tech experience like working for someone in the field while you are doing your studies. I volunteered at a marine mammal center, scuba dived to get a better idea of marine life and their eco system, and I worked part time as a Bio Tech assistant in the college I was going to. Hands on experience earlier on is crucial for long term success. The more time you have put into doing all the grunt work the more likely your input and experience will be valued when you are ready to step out and own a position in the field. You will be surprised how many places could always use a volunteer. Any museums or science academies in your area are definitely worth checking out. Most folks would be hard pressed to say no to having someone shadow them.