Yes but that implies it wasn't murder, whereas homocide makes no judgment on intent.
Yes, you can recklessly assault someone, but strangely you can't recklessly murder them.
In a way its a bit of a joke, the whole thing open to happenstance. If I poke someone hard in the face but don't injire them, I could be done for common adsault. Punch someone else, in exactly the same circumstances using exactly the same level of force, but their skull fractures then I could end up in the jug for GBH.
In either scenario the intent, the act of violence, and the level or force used in joules is identical, yet as an offender I would be sentenced (or rewarded) depending on the level of good or bad luck involved.
To my mind you assault someone, or you don't. You assault someone with a weapon, or you don't. You kill someone, or you don't. Letting people off with lighter punishments simply because they aren't very good with their fists always seemed odd to me.