You sure do. What year in school are you in? The earlier you apply the better, because anything on your transcript is fair game. They tend to ask Calc question and Newtonian physics for anyone, since that's a requirement. I don't think they have any Bioengineers there, so that works to your advantage, because they only be able to ask you basic stuff, maybe some harder physics, but probably no more complicated than Strength of Materials.
I was an ME, so I had civilian MEs that never saw the light of day, busting my balls. For the record, I went to this interview in 2002, had 3 of them (2 is standard, the 3rd means one of your first two weren't strong, but they want to give you another shot), and faild gloriously. For the record, not getting selected NUPOC was the best thing that ever happened to me. You wouldn't believe the kind of money grubbing whores that show up at these interviews.
But good luck on screening and the interviews...make sure you get a good meal on the navy's dime in DC
