The Targum Yonathan on Isaiah 6:3 teaches that "the most exalted heaven is the dwelling place of His Presence". Likewise Isaiah 66:1 teaches that heaven is His throne.
But then I came acrosse these commentaries from the Sefaria website:
An alternate reading of a verse from Malbim (Rabbi Meir Leibush ben Yechiel Michel, a 19th Century commentator). He chose to read v'shachanti b'tocham, "I will dwell among them" as "I will dwell within them." He wrote: ". . . in them, the people, not in it, the sanctuary. We are each to build a Tabernacle in our own heart for G-d to dwell in."
Rabbi Shneur Zalman of Liadi, The idea is that the Tabernacle represents the resting of G-d's presence on the Jewish people as it says, "And I shall dwell amongst them" and it says, "a Temple of G-d it is." What is this need for a G-dly abode down below? Our Rabbis teach us Medrash Tanchuma: G-d desired a dwelling place in the lowest worlds. But does it not say that "the Heavens and Earth I fill"? But the concept is that this dwelling place is the revelation of G-dliness, Blessed be God's Name. The Lowest Worlds specifically should have this revelation, and these lowest worlds are not a place. After all, G-d declares to Moses "the place is with Me!" which means that both Above and Below are not places in the physical sense but represent levels in and expressions in G-dly expression. In this lowest of all worlds, it is the lowest of G-dly expression because it is the last rung of the levels of orders of creations of the worlds. Therefore, here, in this world, the conceptualization of G-dliness is understood in a way of hiddeness and great darkness. G-d desires that we light up the darkness specifically. How do we do this? Through mitzvoth and Torah. This explains a statement of our Sages: One hour of teshuva and good deeds is greater in this world than the whole world to come. This is because through one deed in this world, one can draw down more G-dliness than anything in the next world... We make this lowest of all worlds a dwelling place through making souls in bodies specifically on the level of being separate and unique. By being separate within a body, through mitzvoth, one can achieve the level of holiness of "I will dwell amongst you" and this is achieved through staying away from evil and attaching one's self to good.
Could one say that a piece of Heaven, HaShem, His Shechinah, could (figuratively) dwell/resides in us?