It might well happen then if everything goes well, but I'm not sure they've ever given a specific date. In public statements that I've seen, Elon's been pretty consistent about saying he wants a "steady cadence of launches" before a public offering, because that's what it takes to convince Wall Street that something as exotic as a space launch company is a sustainable business, particularly if the CEO keeps talking about colonizing Mars. He went on in COTS-2/3 press conferences to define "steady cadence" as a launch a month or so, which would be a breakneck pace for any other organization on Earth.
If they launch everything on their manifest successfully, they may be on path to do that by the end of next year --- but that, too is an ambitious goal. (Heck, even if he can produce all the rockets, his customers may not have the payloads ready!)
The joke for many years has been "If you want to be a billionaire, take ten billion dollars and start a rocket company." Wall Street is right to be skeptical, though nobody has ever had this much success before.
