No, they do not. These three are not one in the way the Father and the Son and the Holy Spirit are one (John 17:11, John 17:22). Instead, here is another effort on the part of this second beast to mimic God in the three Persons of his Godhead (Revelation 1:4–5).
11 Then I saw another beast rising out of the earth. It had two horns like a lamb and it spoke like a dragon.