God said: “Let us make
man in our image according to our likeness.”
Ge 1:26
We've established that God has no form or physical body, so it stands to reason that the 'image' of God is in a similar way. It has to be invisible.
Do we have an invisible part to us? Yes we do. Our mind and conscience works as an abstract or invisible/intangible part of us. Our body is certainly physical, but our inner person is not.
Adam was imbued with the divine attributes of love, wisdom, justice, and power. These attributes are intangible and invisible and they are the 4 attributes of God himself.
And we were created with a conscience that could make make moral judgements. Humans are the only creature on earth with this ability. Animals are not driven by their conscience the way we are.
Does that answer your question?