Transferring to Cal/Davis without full major pre-reqs?

Hi everyone!

I’m currently applying to transfer to Cal or Davis as a nutritional sciences major. I’ve completely 60 credits and the IGETC requirements at a local community college.

I have a 4.0 overall GPA, over 500 hours of volunteer work & community service, work experience, academic awards/scholarships in sciences from my CC, and I’m feeling extremely confident in my two personal statements!
The only thing that has me a bit worried is that I haven’t completed all the major requirements. I have two more chemistry classes to take, but I’d rather transfer now and complete them at either Cal or Davis! I don’t mind taking the extra semesters towards graduation, but I’m wondering if the colleges will be open to that.

Does anyone know what my chances are at either of these schools based on my circumstances? Do either of these schools accept students who haven’t completed all major requirements?

Thank you!