No, we don't. It sounds like our closest equivalent is the Sunday of Orthodoxy, early in Lent, when parishes and pastors from all jurisdictions gather at the same church and worship together.
Tonight, we celebrate the service of the Sacrament of Holy Unction. Tomorrow, a Liturgy and washing of each other's feet to celebrate the institution of the Eucharist at the Last Supper. Tomorrow night, the reading of the Passion Gospels. Great and Holy Friday begins a period of continual services and vigil in the Church, culminating with the Paschal Liturgy beginning just before midnight on Saturday.
Always one-upsmanship.... "good" friday wasn't enough eh?