Nope. There are no EXP books in that exchange shop. Word to the wise though, start farming for those Reindeer Stella souls and fragments, we're getting a new event next week where you need to be collecting special drops only found in Idola Battle - this is for yet another exchange, but you can get Melissa as a usable character (the wind mage who runs the trade shop). having any of the new 5* souls, including that one from the exchange shop will boost the drop rate of that item.