Yes and it's a separate story from the previous games. You'll only miss a few references and a certain part might not have as big of a nostalgic effect, but nothing that's really relevant to the main story.
Although I'd probably at least play Bioshock 1 before the Burial at Sea DLC.
"Because I realize I want you. Guts." | "....... Are you a ****?" http://steamcommunity.com/id/Malicii/