At UIUC biochemistry is offered through Molecular and Cellular Biology. It's a good program but distinct from Chemistry. Next semester sounds like sophomore fall, which would be on schedule for chemistry majors as well as biochem majors at most programs I know of.

I have no idea what bringing up ChemE has to do with anything: undergrad ChemE has little to do with chemistry and a lot to do with continuum mechanics and steam tables. It's common for engineering students to do their natural sciences classwork (it isn't called "earth sciences", that is something else) together along with major students.