Does God Lie? Yes and No.

No, God cannot and does not lie. (So much for God being able to do anything.)

God is not a man, that he should lie; neither the son of man, that he should repent. Numbers 23:19

The Strength of Israel will not lie nor repent. 1 Samuel 15:29

Thou art that God, and thy words be true. 2 Samuel 7:28

Thy word is true from the beginning. Psalm 119:160

In hope of eternal life, which God, that cannot lie, promised before the world began. Titus 1:2

It was impossible for God to lie. Hebrews 6:18

Yes, God lies by proxy; He sends prophets or lying spirits to deceive.

Now, therefore, behold, the Lord hath put a lying spirit in the mouth of these thy prophets, and the Lord hath spoken evil concerning thee. 1 Kings 22:23

Now therefore, behold, the Lord hath put a lying spirit in the mouth of these thy prophets. 2 Chronicles 18:22

Ah, Lord GOD! surely thou hast greatly deceived this people. Jeremiah 4:10
O Lord, thou hast deceived me, and I was deceived. Jeremiah 20:7

And if a prophet be deceived when he hath spoken a thing, I the Lord have deceived that prophet. Ezekiel 14:9
For this cause God shall send them strong delusion, that they should believe a lie. 2 Thessalonians 2:11