Yes, though I am not sure what that has to do with his humble self assessment in Romans 7:14-25.
Spiritual, because the Holy Spirit resides, having been delivered from sin to God in Christ; not because He has "already attained it"--that glorious perfect state at the resurrection.
But, insofar as he remains "in the flesh", that is, bound in the body under sin and death, not yet glorified, raised up, etc, then he certainly remained a carnal man as well.
Not that bodily existence is sinful, but that our present existence in the body certainly is marked by sin and death. The body grows weak, falls ill, and the clock is always ticking until this mortal frame itself expires.
Which is why, of course, we look forward to the resurrection
of the body. So that this mortal might put on immortality, that this corruptible frame will become incorruptible. That this body of death might become a body of life, in the glorious perfect image of Christ Jesus our Lord, who having been raised from the dead is the firstfruits of the resurrection, and that having the Spirit of Him who raised Jesus in us means that we too shall one day discover that this mortal body of ours be full of life.
So Paul, the spiritual man, because of the Spirit who is the pledge and promise of what is to come, received now in faith, though seen now though a dim glass; but in the end, face to face, knowing fully.
And Paul, the carnal man, because being present in sinful, mortal flesh, striving against the passions, enduring the struggle between the good on the one side and the evil on the other. Caught between Christ and Adam, in Christ by grace, through faith, through the indwelling of the Spirit and in Adam because of a humanity and body bound to the deathliness of this fallen, dying world of sin.
Which, of course, goes back to that phrase we Reformation types like to use: Simul iustus et peccator.
-CryptoLutheran