This one is tricky because we have to admit here that the expansion of space is a model. We don't actually know whether it is the true nature of the universe, or merely a good predictive model of every observation we have made over the course of human history.
That being said, the current preferred model is that the expansion of space occurs everywhere. It is treated as an aspect of the topology of space itself, not just the matter in it.
Given the current estimate for Hubble's Constant of 71.9 km/s / Mpc, we can plug in numbers to determine how fast two points are moving apart. Let's pick a point in Los Angeles and one point in New York. They are 10083km apart (straight line distance through the Earth). That's .00000000000000032676778 Mpc, if you convert km to Mpc. Thus New York and Los Angeles are moving apart due to the expansion of space at a rate of 736 um/yr!
Of course, plate tectonics causes shifts 3 orders of magnitude greater than this, so we don't notice this expansion all that much.