Yes; the Holy Spirit knows the day and the hour, as does The Son; in both His Human and Divine Natures. However, The Son’s Human Nature does not know the day and the hour by itself, but by its union with The Word. (see below)
As the Catechism said of Christ which R_C posted above,
Thus, the human nature of The Son does indeed know everything that pertains to God; God is perfect Truth, and the day and the hour of the end of time is something that pertains to God; therefore, the human nature of the Son knows the day and the hour of the end of time, not by itself but by its union with the Word.
When Christ says, “Matt 24:36 - But about that day or hour no one knows, not even the angels in heaven, nor the Son, but only the Father”, He therefore means that the Son by Himself does not know through His Human Nature alone, but His Human Nature knows these things by its union with The Word.
This interpretation may feel like a stretch, but I’m sure you can find instances in Scripture where the proper interpretation feels similarly stretchy and where the most simplistic interpretation might lead us to error and sin (“if your hand causes you to sin, cut it off” might be a good example of where a simplistic interpretation can lead us to something strange). The Church has the authority to interpret Scripture, and it is to this interpretation that we are bound, even if it may feel like a stretch, God can reveal through Her (The Church’s) interpretation true things that we wouldn’t be able to come up with by ourselves.