[jaclaz]

If you follow the (Latin) origin it is even wider, in Italian artifact is artefatto where while the art (arte) part is as you say, the fatto comes from fare (Latin facere) which translate to "made".

And we say "fatto ad arte" to mean that it is "intentionally made" i.e. artefatto is something that doesn't happen normally or naturally and/or does not exist in nature.