Yes and no. Every born-again believer is "in Christ" and in him possessed of all the perfection that he is. This is the sole reason why God accepts any of us (Ephesians 1:6). In Christ, we are made "perfect" positionally, on a spiritual level fully justified, sanctified, and united with Christ in his death, burial and resurrection (1 Corinthians 1:30; Ephesians 1:1-14; Romans 6:1-6) but in our daily condition, our mundane, practical living, we are far from this perfection. Becoming spiritually-mature is the process whereby what is true of the born-again believer in their spiritual position in Christ more and more characterizes their daily, mundane condition. So yes, spiritually, the born-again person is "perfected" by being placed in Christ by the Holy Spirit who makes of the believer his "temple" (Titus 3:5-8; 1 Corinthians 3:16; 6:19-20). In the Spirit, the Spirit of Christ (Romans 8:9), all the perfection of Christ is in the believer.
But the effect of the Spirit's presence within the born-again person manifests progressively, over time, in their living. To analogize: A man may purchase a new house to live in but he makes that house his home through a process that takes time and effort, the man moving his possessions into the house, arranging them as he likes in the various rooms of the house, putting up pictures on the walls, and drapes over the windows, and new paint on the walls. He may have to re-shingle the roof and put in new flooring; he may have to do some work on the plumbing in the kitchen, or repair the foundation of the house. The man being physically within the house is only the beginning of a process whereby he makes the house his home. So, too, the Holy Spirit when he takes up residence in the one who has trusted in Christ as their Savior and Lord. The Spirit "moves in" to the "house" that is the new convert and then goes to work on each "room" of their life, making them all, over time, reflect himself.
The Holy Spirit must clean out a lot of "junk" that has accumulated in the new convert's life; but where a homeowner has free-reign to act as he likes in his newly-purchased house, the Holy Spirit waits upon the born-again believer to agree to his transformation of the "house" of their life. The Spirit will not kick in the doors of each "room" of a believer's "house" and forcefully change what's in it. Only when the believer has agreed to his entering and altering the rooms of their life - submission - will the Spirit transform them to reflect his ownership. For some believers, this process may take decades; really, there is no believer who ever comes fully to the end of the transformation process this side of the grave.
Many believers, for example, don't know anything about "walking in the Spirit," and so, in a stumbling, frustrated and exhausting effort try to produce for God from their own fleshly power what only He can produce. Many believers don't realize how much they've compromised with the World, the flesh and even the devil, and so, live in a double-minded way, a friend of the World and a prisoner to their flesh, while trying to be a child of God, too. Taught badly, and neglectful of God's word, and blinded by their sin, they have little awareness that they are actually double-minded and far from the life of communion with God that they could have. Many believers have no idea who they are in Christ, what their spiritual inheritance in him is; and so, they live as spiritual paupers, though they are co-heirs with Christ. For all of these reasons (and many others) the born-again believer, truly indwelt by the Holy Spirit, may not bear the "Fruit of the Spirit," but live in spiritual and moral squalor, ignorant and bound.
And so it is that we read in Scripture of the carnal babes in Christ in the Corinthian church (1 Corinthians 3:1); and the believers in Galatia migrating into fleshly legalism (Galatians 3:1-3); and the brethren in the church at Rome ignorant of their co-crucifixion with Christ and so "living in sin that grace may abound" (Romans 6:1-3); and the Ephesian Christians participating in the "unfruitful deeds of darkness" (Ephesians 5:1-13); and the seven churches in the apostle John's Revelation most of which were badly corrupt, complacent, spiritually lukewarm, and fouled by false teaching (Revelation 2-3).