No, just the retail version of the anthology has those DLC codes, since they were added at the request of one of the retail distributors (see a reply to a comment in the blog post
Hatching the Anthology). The
Larian Vault is sold out of the retail version, but you may still be able to find someplace else with it in stock.
However, at least for Dragon Commander there was a Chinese New Year
DLC promo offer early last year. The
webpage is still up, so you can try submitting your email address to get in on the deal (as long as you don't mind silver instead of the gold jetpack the anthology code would provide). I have not gotten any announcements from signing up (despite leaving the option checked to get updates), so you don't have to worry about getting on any mailing lists, etc.
Welcome to the forum.
