Is Planck Time and Length the Smallest Possible Units of Measurement?

MathJakob
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Hope someone can clear this up for me, is Planck time the shortest possible time in which a particle or quark or anything can perform some kind of action?

Also is Planck length the shortest distance in which an object can actually move? Anything shorter than that and the object doesn't mean at all?

So take two objects x and y, the closest x can get to y is 1 Planck length until x occupy the same space as y?

Wiki is great but it's just to confusing. Do we basically live in a "pixelated" universe and not in a smooth flowing one?

I began to think if something is moving at 1m/s, I can keep halving it and halving it infinitely? Or until it reaches Planck time?
 
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