I don't know whether space (or time for that matter) is quantized.
In post #18, a contributor said;
Super weird indeed. Moreover, if time exists, & it passes linearly, it should have an infinite speed, since it passes continuously..Time is weirder than existence itself
My comments which you addressed in the aove, were simply to respond to that. But in any event, I'd always thought that a point is dimensionless - and that there are an infinite number of points, in a line, as there are an infinite number of lines in a plane, as there are infinite planes in a solid. That's what I was getting at when I used my 'desk' example.
Regarding your last paragraph, this seems to me, a rephrasing of Zeno's Achilles and the tortoise paradox, which has been discussed here earlier.
Zeno's flying arrow paradox - now that's another thing. That one's really got me stumped, because imo, it goes to the heart of what the present moment, or an instant in time is. And that's a point I've been trying to explore for some time, but haven't gotten far.