Does starting out in MA1032-PreCalculus put me behind

Possibly, but not always. If you meet the Chemistry readiness guidelines and take Chemistry I (CH1150/1) your first fall semester, then all of the credits you take that semester will count towards graduation (MA1032-PreCalculus can count as free electives in any engineering program). If you start out in Preparatory Chemistry, then those credits will not count towards graduation. If you plan your pre-requisite courses with your academic advisor and take one or two summer courses either at Michigan Tech or at a community college near your home, you should be able to “catch up” and still graduate in four years’ time.