(Bamidbar 35:21) "Or if in hatred he strike him with his hand": What is the intent of this? From "And if with an iron implement," "And if with a hand-stone," "Or if with a wooden implement," I would think that he is liable only with these. Whence do I derive (that he is likewise liable) if he crushed, strangled, kicked, or trampled him? From "with his hand" — in any manner. "The avenger shall kill the murderer": What is the intent of this? Is it not already written (19) "The avenger, he shall kill the murderer"? I might think that (this obtains) only with one who has an avenger. Whence do I derive (the same for) one who does not have an avenger? From "The avenger" — in any event.
A Fatal Blow by Hand Carries the Same Weight as Weapons
Sifrei Bamidbar 160:7