This is true but not as useful an intuition as it first appears. The major difference for satellites is that everything in low-Earth orbit is traveling at ~8 km/s, so the spatial volume they traverse in any amount of time can be surprisingly large. A cubic-meter satellite traverses 250 cubic kilometers of volume in a year. (If you want to get an order-of-magnitude estimate for collision frequency, you imagine one satellite occupies it's normal volume and the other occupies the traversal volume, and then just ask what the chance is that those volumes overlap, given the amount of space above the Earth within the altitude range of the orbits.)

And indeed, there has already been an accidental satellite-satellite collision (not just satellite-debris collision).

https://en.wikipedia.org/wiki/2009_satellite_collision

The Iridium constellation has about ~80 satellites, and one passes within 5km of another satellite about 50 times/day.