Is Amazon Yesterday Shipping a Real Prime Service?

No. It is a spoof played for a laugh. On GeekWire's episode about Prime moving to one-day shipping, Todd Bishop and Nat Levy run a 2012 YouTube bit from the Builder Burgers channel. The fake ad says you check out, choose yesterday shipping, and you have already had the product for a day. A box you did not order shows up the day before, and Amazon support tells you that you bought those shoes tomorrow. Bishop stops the clip and says it is the only thing in the episode that is not real. The actual story is the cost of taking Prime from two days to one.