No, Ultimate training is a one time thing to give a kick start into the new system of charms and magatamas.

Later on we'll get follow up daily systems. I do think it's not going to be long from now though, considering this week we are having Minato, Hokage Tsunade, Tobirama, and Nite tails naruto (and Minato is at half it's normal price, Tobirama also 24k) I am very strongly led to believe we are getting new treasure(s?) next week. Max in two weeks.

Along with this new functions of the game are sure to come soon.