Our current understanding of the laws of physics break down at dimensions below Planck scale so we classify that as the smallest measurable distance. Of course you can say half a Planck but we really don’t know what goes on at that scale.
Here is my favorite way to visualize just how small a Planck length is. Theoretically you could fit more cubic meters into the known observable universe than you could fit cubic Planck lengths into a cubic meter.
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