Is the body we home in the earthly house of tabernacle (home) of verse 1?
Even if this home/tabernacle be dissolved/destroyed, do we still home in it awaiting out house from heaven?
Do we groan in this home/tabernacle wanting the mortality of this home/tabernacle to be swallowed up in life?
Does that sound much like and is speaking of the same thing as: 1 Cor 15:53.54 For this corruptible must put on incorruption, and this mortal must put on immortality. So when this corruptible shall have put on incorruption, and this mortal shall have put on immortality, then shall be brought to pass the saying that is written, Death is swallowed up in victory. -- The victory of life?
Also as Romans 8:23 And not only they, but ourselves also, which have the firstfruits of the Spirit, even we ourselves groan within ourselves, waiting for the adoption, to wit, the redemption of our body.?
Is that the very same groaning that is taking place in 2 Cor 5:4?
The answer to all is yes.
Paul is speaking of the glorified body, and what he states is that we desire to be in that body but that does not mean we desire to be...dead.
He is in fact stating a desire to be raptured.
Do these take place at the same moment in time; the adoption, to wit, the redemption of our body.
For the Church, yes, but not for all of the Saints. The Church is taken up prior to the Tribulation, and the next Resurrection is the Resurrection and rapture of the Two Witnesses, then the Resurrection of the Tribulation Martyrs.
There is what could be considered a "general" resurrection following the Millennial Kingdom, at which point at the very least we are told that the lost/dead/unjust are raised to stand before the Great White Throne Judgment.
It should be carefully noted that only those (in this Age) who are born again are raised in the Rapture, and only those born again during the Tribulation are raised after the Tribulation (though only those who died). Those born again during the Tribulation who physically survive will enter into the Kingdom, and while it may be possible that they are glorified at death, it is also possible they are raised in the general resurrection.
God bless.