Yes.... and no.
The term "hard landing" usually implies that the aircraft was under some control when it, well, "crashed". In contrast, "crashed" usually implies little to no control.
Likewise, "crashed" can mean total destruction of the aircraft. "Hard Landing" implies less destruction and that the aircraft is salvageable- though some hard landings are written off as not being economical to repair.
In the end, "hard landings" often leave at least some survivors. "Crashes" usually do not have many survivors.