The current understanding by scientists and astronomers is that our physical Universe did not exist until some 13.7 billion years ago, when somehow an infinitely dense, infinitely small point called a singularity suddenly materialized and exploded into the present universe. They have ended up calling this the 'Big Bang' Theory.
God had to have created the universe in some specific fashion. If the current scientific evidence supports it, then why couldn't it be possible for God to have created the universe through a 'Big Bang'? For someone to consider it possible that God used the Big Bang as the way that the universe began does not need to mean that they believe in a Creator-less universe.
The fact that all existing energy came into existence from nothing at all (in defiance of known physical law) actually lends favor to Genesis 1:1 where it says: "In [the] beginning God created the heavens and the earth." The Bible doesn't tell us exactly how God made the universe but it definitely shows us that He was the who made everything:
"Of course, every house is constructed by someone, but he that constructed all things is God." (Heb. 3:4)
"His invisible qualities are clearly seen from the world's creation onward, because they are perceived by the things made, even his eternal power and Godship, so that they are inexcusable." (Romans 1:20)
“Raise YOUR eyes high up and see. Who has created these things? It is the One who is bringing forth the army of them even by number, all of whom he calls even by name. Due to the abundance of dynamic energy, he also being vigorous in power, not one [of them] is missing." (Isaiah 40:26)
"The heavens are declaring the glory of God; and of the work of his hands the expanse is telling." (Psalm 19:1)
For more, see:
Big Bang Theory - Links to Information (Search Results From the Watchtower Online Library)