Since you’re researching this, why don’t you just call the chemistry department nearest you, and ask. In theory, with a BS in meteorology, you will have a lot of science courses already, and to meet the grad school admissions requirements you may (as I said earlier) have to take more chemistry courses at a 4 year university. But since each school sets its own rules and its own requirements, you should be asking them, and not us.
Or, to explain it another way: you will meet many of the requirements for a BS in chemistry (gen ed, for example, and some of the sciences) with your MS in meteorology. So with maybe 3 semesters worth of chemistry courses you may meet the admissions requirements for a master’s in chemistry - without a degree specifically in chemistry, but having taken the required chemistry courses for it.