And Jesus increased in wisdom and stature, and in favour with God and man.
Luke 2:52
So also Christ glorified not himself to be made an high priest; but he that said unto him, Thou art my Son, to day have I begotten thee.
As he saith also in another place, Thou art a priest for ever after the order of Melchisedec.
Who in the days of his flesh, when he had offered up prayers and supplications with strong crying and tears unto him that was able to save him from death, and was heard in that he feared;
Though he were a Son, yet learned he obedience by the things which he suffered;
And being made perfect, he became the author of eternal salvation unto all them that obey him;
Hebrews 5:5-9
Something was certainly progressive. Being humbled and taking the form of a servant (though He was in the form of God) meant a limitation upon Him. Thus, "the days of His flesh" emphasizes His humbling of Himself, taking on the limitations (in the flesh) of humanity but still walking perfectly (as to righteousness). He had to learn to walk when not in the very presence of the Father. That was His humanity. But He still "knew all men". Remember...the verse I quoted from Luke 2 comes on the heels of this :
And the child grew, and waxed strong in spirit, filled with wisdom: and the grace of God was upon him.
...
And it came to pass, that after three days they found him in the temple, sitting in the midst of the doctors, both hearing them, and asking them questions.
And all that heard him were astonished at his understanding and answers.
And when they saw him, they were amazed: and his mother said unto him, Son, why hast thou thus dealt with us? behold, thy father and I have sought thee sorrowing.
And he said unto them, How is it that ye sought me? wist ye not that I must be about my Father's business?
...
And he went down with them, and came to Nazareth, and was subject unto them: but his mother kept all these sayings in her heart.
Luke 2:40,46-49,51
So...already at 12 He was "filled with wisdom". He was able to hold His own in the temple. And He knew He was there to carry out His Father's business. But part of His humbling involved being subject to those over whom He had (spiritual) authority (eternally, that is). But, as the first verse states, He still had learning to do. I take it that this is all a part of His human "condition".
For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh
Romans 8:3
If Jesus had to learn some secret knowledge, then He was what the gnostics believe. But rather it was to enter into time to reveal what is (and was) instantaneously apparent in eternity.
As He grew, He did grow in wisdom (naturally) and He did have to learn to obey (overcoming the sinful flesh perfectly as indicated in Romans 8:3). Yet...through it all...He was utterly sinless. And only because He was Divine.