Cuddling kitty and gentling bouncing, like you would with a baby...kitties are better calmed by cuddling and gently petting their heads, like momma cat washing them.
Sudden motions, like bouncing them, even gently, are likely to traumatize kitties. At heart, they are still wild things and sudden motions are a sign of danger.
Also, they are very strong for their size, but are still fragile compared to us, so even a well meant action to try and calm them, might hurt them.
well I wouldnt shake any baby and yes in my opinion you could injure the cat ... who is behaving like that ?...