Something that's biochemical relates to chemical processes that occur in living beings, like the chemical reactions in your body.
You're most likely to come across the word biochemical in a science class. Biochemical processes occur in living organisms. For example, the way your body converts food into energy is biochemical, as is the way your body fights disease and responds to drugs. The word biochemistry comes from the German biochemisch, and both words combine the Greek bio, "one's life," and chemical, "relating to chemistry."