If you put the instruction of eating His body and drinking His blood (remember that the Jews recoiled in abhorrence at the idea of cannibalism), along with the Last Supper (which replaced Passover for Christianity), and the writing of Paul (as often as you do this), and go to the early Church's practices - they started to celebrate the Mass as often as possible. Which in the Church is daily.
Beyond this and other Scriptural support, we have the early Church documents - the Didache, Ignatius and Justin Martyr expanding upon the Gospel and Pauline verses regarding the Eucharist.
Obviously it did NOT; for Passover is a YEARLY meal: still is.
If GOD thought a once a year reminder was good enough for His Chosen People; what makes Christians NEED a DAILY dose of Jesus Blood and Meat®?