According to the WTS the marriage of the bride and Christ will not take place until shortly after the great tribulation starts. So only engaged so far.
w92 4/15 p. 17 par. 22 Jehovah’s Provision, the "Given Ones" ***
Finally, after the demise of Babylon the Great, all 144,000 ‘sealed ones’ will be in heaven for the marriage of the Lamb. (Revelation 7:1-3; 19:1-8)
*** w96 1/15 p. 31 Questions From Readers ***
Most of these anointed ones have already died, with heavenly life in view. Some are still alive on earth. All eagerly look forward to the heavenly “marriage of the Lamb.” The Bible links that marriage to the time of the approaching great tribulation—the destruction of Babylon the Great, and then the elimination of the rest of Satan’s system.—Revelation 18:2-5; 19:2, 7, 11-21; Matthew 24:21.