@Maverick's answer already givegives you the Biblical basis of a "yes" answer, but if you want to move from a bunch of textual statements (though indispensable) to processing further philosophically to envision how thethese truths are embodied in Jesus, this answer is for you.
For Trinitarian Christians, it's very important to see Jesus as the pre-existing Word taking on flesh (John 1:1-18), so the human nature is added to the Divine person. Thus, it is not symmetrical: in His divine nature, heHe always knowknows about the two natures, but when operating in Hishis human nature, his baby soul might need to grow until at least his teenage years for Jesus to fully realize that Hehe is a divine person, relying on the prophetic revelation he receives as a human being (for example, when hearing the voice from heaven and seeing the symbol of the Holy Spirit during his baptism). Due to his immaculate conception untainted by original sin, he would not have the messed up psyche we have, which would have blocked direct intuition of the Father loving him and communicating to him since babyhood. But we don't know at which point of his life on earth he knew of his divine nature for sure (since the Bible didn't tell us explicitly), but by the time he started his ministry he must have known since it is critical to communicate his role as God for human salvation. Otherwise, saying that he is the lamb who takes away the sins of the world would be ludicrous / megalomaniac if he didn't know he is God (listen to how Fr. Thomas White explained it).