Yes, it happens all the time and satellites get hit way less than the earth because, think about it, their surface area is *way* less. Sadly, hitting satellites will make the orbital debris problem worse since every hit just makes more smaller pieces. Even little pieces are a disaster for other satellites at 10km/second, though they fall out of orbit faster.
Interestingly, the frequency of hits is inversely proportional to mass (weight) of the object. Guessing this thing weighs about a 100 tonnes (probably more) and one hits earth every two years (burning up in the atmosphere). That means a 1000 tonne object will hit about every 20 years and a 10000 tonne object every 200 years, etc.