No, although there is a general rule of thumb that we pray to the Father through the intercession of the Lord Jesus and by the help and strength of the Holy Spirit. Prayer, generally speaking, should be Trinitarian.
Jesus taught His disciples to pray, saying, “Our Father, who art in heaven” (Matt. 6:9). It is, however, appropriate on occasion and in certain circumstances to pray directly to Jesus or to pray directly to the Holy Spirit, realizing some of the aspects that are peculiar to each person of the Trinity. But on Sunday morning in a pastoral prayer, I want it to be Trinitarian.