No, it's not a cryptographic hash function. It's a MAC function.
The paper clearly states that it is not collision resistant.
The paper clearly states that it is not collision resistant.
What I think of as "cryptographic hash function" is a function resistent to pre-image attack, second pre-image attack, and collision generation.
Neither of those are satisfied by SipHash, and can thus not classify as a cryptographic hash function by the normal definition.