What does "packaged charm" mean?
Solution 1:
As it happens, Oxford English Dictionary (paywalled) uses the quote from Chandler's The Long Goodbye (1953; 1971 linked) to attest their sense 2 of 'packaged', adj.:
Put together as a single unit for sale, presentation, etc.; presented in a particular way, esp. for promotional purposes.
...
1953 R. Chandler Long Good-bye iv. 22 The goddam women will start..making up [sic] with the packaged charm.
The sense OED presents for 'packaged' is accurate for Chandler's use of 'packaged' in the quote. In context, the packaged 'charm' is not a charm such as might be found on a charm bracelet (which may have one or many charms attached), but rather a figurative sense of 'charm':
Any quality, attribute, trait, feature, etc., which exerts a fascinating or attractive influence, exciting love or admiration.
OED
The use of 'make with' (here in the form "making with") is US slang, meaning
To bring into operation; to use, affect....
op. cit.
Women of the sort Chandler described were likely to wear multiple bracelets, on one or both arms, which explains the "tinkling their goddamn bracelets".