You've got it exactly backwards. This should read: One of the reasons life (not necessarily intelligent life) exists on Earth is happens to be our universe's fundamental constants are as they are.

Your version could be taken as implying some kind of teleology: that the purpose of our particular universe is to support us - which is complete bollocks.

While the values of the fundamental constants in our universe are necessary for our type of life (and only for our type of life), they are not all sufficient. We have no way of knowing (yet) what radically different kinds of life may exist in universes with different fundamental constants.