People really need to read the original question before responding. Nowhere does the OP say s/he will not take pre-calc.
While it seems that every student on CC is a STEM-y Intel-winner, that is not the case. Harvard has students that have never taken calc, so I am sure the same holds true for OP’s target schools. Of course, if the OP really wants to, s/he could take a summer course, but it wall not make or break an application.
Assuming that “she” is your counselor, then trust her over a bunch of anonymous opinions (even mine 
) on the internet.