It depends on what you define god to be. If you define god as the ground of all being (Paul Tillich) then yes, of course god can exist. If you define god as a creator who created the world in X number of days then probably not.
It also depends on how you read scripture. If you read it as the record of scientific investigation then, no. If you read it as the attempt of people to come to grips with and communicate their experience of transcendence then, yes.