Yes, you can shave any part of your body with a safety razor. Take your time and shave using the beginner settings (R1-R3) with the use of shave cream, gel, or lotion.
When shaving the bikini zone, pull your skin taut and shave with the grain, in the direction that the hair grows. Tight skin allows the blade to flow smoothly. If you've never tried it before, position yourself in a squat. This tightens the entire area (and conceals anything you want to avoid nipping).