In a theological, metaphysical, and philosophical sense, yes, it is possible to make the argument that God, or a god, created the universe.  In fact, many have made such assertions, and attempted to justify them on those grounds, and this is still widely discussed in those fields.  

The Big Bang, however, is a scientific theory.  We can hypothesize an extension to the theory for the universe before Plank length and time, but a hypothesis is not workable in science until it is testable.  So a hypothesis or theory involving God would not be accepted without defining, in precisely testable terms, what is meant by "God".  This is no easy task, though many philosophers and theologians have attempted it.  Nonetheless, sometimes philosophy has been very helpful to guiding scientific exploration.  And, if nothing else, this can at least be an educational mental excersise to try oneself.
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