Yes. Not only are the various members of the Trinity called God, each of them has divine attributes attributed to them.
1. God Is Everywhere Present
Each member of the Trinity is said to be omni-present, or everywhere present.
God The Father
The Father is everywhere present.
Who can hide in secret places so that I cannot see them says the LORD? Do I not fill heaven and earth says the LORD? (Jeremiah 23:24).
God The Son
The Son is also everywhere present. Jesus said.
And surely I am with you always, to the very end of the age (Matthew 28:20).
God The Holy Spirit
The Holy Spirit is present everywhere.
Where can I go from your Spirit? Where can I flee from your presence? (Psalm 139:7).
2. They Are All-Knowing
All knowledge is attributed to the Trinity.
God The Father
God the Father knows all.
Oh, the depth of the riches of the wisdom and knowledge of God! How unsearchable his judgments, and his paths beyond tracing out (Romans 11:33).
God The Son
The Son has all knowledge.
He [Peter] said, “Lord, you know all things; you know that I love you” (John 21:17).
God The Holy Spirit
The Holy Spirit is all-knowing.
But the Helper, the Holy Spirit, whom the Father will send in my name, he will teach you all things, and bring to your remembrance all that I said to you (John 14:26).
3. They Are All-Powerful
The members of the Trinity are all-powerful.
God The Father
The Father is omnipotent.
Behold, I am the Lord, the God of all flesh; is anything too difficult for me? (Jeremiah 32:27).
God The Son
The Son is all-powerful.
And Jesus came up and spoke to them, saying, “All authority has been given to me in heaven and on earth” (Matthew 28:18).
God The Holy Spirit
The Holy Spirit is all-powerful. Paul said that preached in the power of the Holy Spirit.
In the power of signs and wonders, in the power of the Spirit; so that from Jerusalem and round about as far as Illyricum I have fully preached the gospel of Chris (Romans 15:19).
4. They Are Unchanging
God the Father, God the Son, and God the Holy Spirit do not change.
God The Father
God the Father does not change.
For I, the Lord, do not change; therefore you, O sons of Jacob, are not consumed (Malachi 3:6).
God The Son
Jesus Christ remains the same always.
Jesus Christ is the same yesterday and today and forever (Hebrews 13:8).
God The Holy Spirit
The Holy Spirit is also unchanging.
This is what I covenanted with you when you came out of Egypt. And my Spirit remains among you. Do not fear (Haggai 2:5).
5. They Are Eternal
All three members of the Trinity are eternal.
God The Father
God the Father has existed for all eternity.
Before the mountains were born or you brought forth the earth and the world, from everlasting to everlasting you are God (Psalm 90:2)
God The Son
God the Son did not have a beginning.
In the beginning was the Word, and the Word was with God, and the Word was God (John 1:1).
God The Holy Spirit
The Holy Spirit is also eternal.
How much more, then, will the blood of Christ, who through the eternal Spirit offered himself unblemished to God, cleanse our consciences from acts that lead to death, so that we may serve the living God (Hebrews 9:14).
Summary
The Father, the Son, and the Holy Spirit are each called God in Scripture. In addition, divine attributes are attributed to all three of them. Only God is all-powerful, all-knowing, eternal, everywhere present, and unchanging. Yet the Scripture says these attributes belong to each member of the Trinity. This is another proof that the Father, Son, and Holy Spirit are the one God. All three of them possess attributes that only God can possess. Therefore the three of them must be the one God.
