No. Although the Bible presents God as our Father, it doesn’t ever say that he had a wife.
However, many of the pagan gods of the nations around Israel did have wives, so it was natural for the Israelites to wonder about this. There is some archaeological evidence that some people believed that the Israelite god (Yahweh) had a consort, and that her name was Asherah. The Bible mentions Asherah many times, but as one of the false Canaanite goddesses, not as the wife of the biblical God.