Change Majors / College

I was admitted to L&S for applied math in UC Berkeley but I realized that I’m pretty interested in chemistry too. I know that it’s extremely difficult to transfer into COC or COE (for chemical or material engineering) but is there any chance at all? Has anyone ever done that before? Do I at least have a slim chance if I manage to keep my GPA high in the first few semesters?

CoC: http://chemistry.berkeley.edu/ugrad/prospective-students/change-of-college
CoE: http://engineering.berkeley.edu/admissions/undergrad-admissions/change-college

Note that chemical engineering is in the CoC, not CoE.