Turing himself defined the test. I think what you're asking is, "Can the AI lie?" In his Imitation Game, the original Turing Test, the machine lies on purpose. The goal is for the human to detect that.
If it didn't lie, there would be no test, as you observed. Turing didn't try to show that machines could think -- only that they could act like it. In that sense, we already have machines that (unintentionally) mislead us. But they will never demonstrate true intelligence. Even Descartes knew that.
I like François Chollet's take [0] on the Turing Test:
> Bots that "pass the Turing test" are to AI research what a David Copperfield show in Vegas is to physics research. (And yes, his shows do involve some amount of physics and engineering.)
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[ 3.6 ms ] story [ 19.8 ms ] threadhttps://photos.app.goo.gl/REgX6k49ZH8a8av26
> Bots that "pass the Turing test" are to AI research what a David Copperfield show in Vegas is to physics research. (And yes, his shows do involve some amount of physics and engineering.)
[0]https://twitter.com/fchollet/status/1344738704724611072