No. It would have to be much bigger if it did, and that increases manufacturing cost and shipping cost. Most players have said they don't want sleeves, so it would quite an inconvenience to them to increase box size and cost. Furthermore, good sleeves are expensive, and would cost about half as much as the decks they are protecting. Many Yomi players have played with their cards for years without sleeves, and said that if any particular deck did get damaged, buying it for $10 would be cheaper in the end. Note that 12 decks outside of Round 1 and Round 2 will be available individually at that price.
Also remember that Yomi cards are not like CCG cards. They are higher quality and have a protective coating. That said, if you still want to sleeve your cards, go ahead! You could try using the EX Power up box and the original Yomi Complete Edition box to hold them all.