No, based on current feats and understanding of the Dragon Ball universe, Goku cannot destroy infinite.
Even considering Goku's immense power, scaling, and potential for growth, the concept of "infinite" is a complex one that surpasses his demonstrated capabilities. Here's a breakdown:
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Goku's Power Scaling: Goku has consistently surpassed his limits, achieving power levels capable of destroying universes (though often with significant effort or assistance). However, universe-busting is not the same as destroying infinite.
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The Nature of Infinity: Infinity represents an unbounded or limitless quantity. It's not a physical object or energy that can be directly destroyed. To "destroy" infinity would imply surpassing its inherent limitlessness, which is logically impossible.
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Dimensionality: The Dragon Ball universe and its related dimensions are often debated. Even if Goku were to destroy a universe, destroying an infinite number of universes or an infinite dimensional space is beyond his current scope of power.
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Feats vs. Theory: While Goku exhibits extraordinary power feats, these are still finite in nature. No feat to date demonstrates the ability to manipulate or erase infinity.
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Reference Analysis: As the reference suggests, Goku's strength is finite. He can achieve incredible feats of power, but "infinite strength" and the ability to "destroy a universe" (let alone infinity) are overestimations of his capabilities.
In short, while Goku's power is arguably limitless in terms of continued growth, he hasn't reached a point where he could affect something conceptually infinite.