ANSWER: No! This is clearly indicated because of what happened in verse six. Had the Ephesians been baptized in the Holy Spirit in verse five, there would have been no reason for Paul to have lain hands on them in verse six to impart the spiritual gifts of speaking in other languages and prophesying. The gifts would have come with the baptism of the Holy Spirit had it actually occurred (Acts 2:1-4 & Acts 10:44-48). The baptism refers to water baptism by the authority of the Lord Jesus. These had previously been baptized in water “unto John’s baptism” after his baptism had become ineffective at Pentecost at which time the Lord’s baptism in water became effective for all men everywhere, “even as many as the Lord our God shall call” (Acts 2:37-47).