One also cannot prove that Elves do not exist.
One also cannot prove that Fairies do not exist.
One also cannot prove that Lord Xenu does not exist.
One also cannot prove that the universe is not the ejaculate of a Giant Space Penis................
Absence of evidence is good enough to discount ALL of the above for any practical and scientific purpose.
And all of these statement you made are examples of this fallacy.
Do you see the resemblance?
"There is no evidence of aliens, and therefore, aliens do not exist"
There is no evidence of fairies, and therefore, fairies do not exist
There is no evidence of God, and therefore, God does not exist