The career training class is heavily science focused. You already have math through calculus, and the core science classes. The career training class will give you specific job skills that apply to your long-range goal, and that also mean you can get a decent paying job right out of high school. You don’t need to major in science to be pre-med. So there is no reason to feel you must change your schedule.
If you are serious about a biochem major, then you might want to take AP bio or AP chem if one of those is offered at your school and is open for students who have taken the science classes that you have completed. But this would not be absolutely necessary.