blownaway you are being a pedant.
Question - Can I can prove that god does not exist?
Answer - Yes.
Two provisos as follows ....
1 - By 'god' I mean the god of christian theism, the god and father of Jesus.
2 - By 'prove' I mean prove beyond all reasonable doubt. Prove to the same degree of certainty that I am sure pink unicorns don't exist.
If by 'god' you mean some ambiguous notion of an ethereal, undefined and unkowable 'spirit' being then you need to go away and think about your question a bit more. Then when you are ready to define your terms we can talk some more.
If by 'prove' you mean as in the sense of a mathematical proof then you are confused about epistemology.