Looking at the verse you mentioned (with some verses added for clarification):
*13 But the angel said to him, “Do not be afraid, Zacharias, for your prayer is heard; and your wife Elizabeth will bear you a son, and you shall call his name John. 14 And you will have joy and gladness, and many will rejoice at his birth. 15 For he will be great in the sight of the Lord, and shall drink neither wine nor strong drink. He will also be filled with the Holy Spirit, even from his mother’s womb. - Luke 1:13-15
And looking at:
34 Then Mary said to the angel, “How can this be, since I do not know a man?”
35 And the angel answered and said to her, “The Holy Spirit will come upon you, and the power of the Highest will overshadow you; therefore, also, that Holy One who is to be born will be called the Son of God. - Luke 1:34-35
These are two different things. People can be filled with the Holy Spirit - it doesn’t mean the same thing as what happened with the Virgin Mary.