Shall a man make gods unto himself, and they are no gods?

Jamieson-Fausset-Brown Bible Commentary

20. indignant protest of Jeremiah against idols.

and they (are) no gods-(Jer 2:11; Isa 37:19; Ga 4:8). "They" refers to the idols. A man (a creature himself) making God is a contradiction in terms. Vulgate takes "they" thus: "Shall man make gods, though men themselves are not gods?"

Matthew Henry's Concise Commentary

16:14-21 The restoration from the Babylonish captivity would be remembered in place of the deliverance from Egypt; it also typified spiritual redemption, and the future deliverance of the church from antichristian oppression. But none of the sins of sinners can be hidden from God, or shall be overlooked by him. He will find out and raise up instruments of his wrath, that shall destroy the Jews, by fraud like fishers, by force like hunters. The prophet, rejoicing at the hope of mercy to come, addressed the Lord as his strength and refuge. The deliverance out of captivity shall be a figure of the great salvation to be wrought by the Messiah. The nations have often known the power of Jehovah in his wrath; but they shall know him as the strength of his people, and their refuge in time of trouble.