I’m quite sure that @gibby is not advising the OP to skip pre-calc based upon his sample size of n=2, especially considering Stuyvesant is not a typical HS (nor was my HS for that matter). 
This is really a HS specific question. Many high schools use the last quarter (or more) of pre-calc to get a head start on the AP AB material, so there is no blanket answer to the OP’s question without looking at the syllabi for all the HS math classes.
I will, however, also state that the OP can take pre-calc as a junior and AP Calc and AP Physics as a senior, which is what most advanced students taking AP Physics do. No Ivy League college, or any other college, gives brownie points to applicants who take AP Calc as a junior.