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No
Brønsted theory
In Brønsted theory $\ce{H+}$ isn't an acid at all. Acids lose protons, becoming conjugate bases, and H+ is the proton itself.
Arrhenius theory
$\ce{H+}$ isn't an acid, because in this theory acids dissociate in water to form hydrogen ions.
Lewis theory
$\ce{H+}$ is an inc...