Answer:
It depends how you define the word 'story'. If you use it to refer to an actual event which is being retold, then, no they are not synonymous. If you use 'story' to refer to a tale that is made-up, then, yes, it means the same as myth.
For a Christian, the Creation is an actual historical event which explains the beginnings of our earth and life upon it. For sceptics, the term 'myth' is applied since they choose not to accept it as a record of an event in time.