I think so because while the sciences are not required or even officially recommended for applicants, some of the applicants will have taken Biology A level and got A or A*; and really, any sign of academic weakness is a problem for Cambridge. That’s not to say it’s a definite no: but a problem. The rest of your application will need to be stellar.
You’re likely to be on track for your other selected courses. Good luck writing a PS to work for all of them.