It could. In the great majority of cases, the alternative is the loss of a minor piece of property, a wallet, some tools from your garage etc.
These are not appropriate reasons to use deadly force, as anyone who pays any attention to the rules is well-aware.
The wallet maybe is questionable. If it was on you at the time and a mugger demands it, you've probably got a reasonable defense that you could experience significant bodily harm or even death. In most jurisdictions, that's usually the litmus test for charges to be filed and if charges are filed, you'll still have to let a jury decide. Both criminal and civil.
It'll be bankruptcy-inducing expensive to pay the lawyer. But at least they didn't find you stabbed and bled out next to a dumpster somewhere.
I don't know what a "minor piece of property" is, but if tools being stolen and you're not personally threatened in any way, killing the thief would trigger criminal charges by most District Attorneys, in most jurisdictions.
I say most, because there are some inconsistent laws out there which do allow defense of personal property alone, but that's not the typical legal norm in most jurisdictions.
However, throw another monkey-wrench in this detailed train of thought... Get the right jurors in a blue-collar town where someone's tools are their livelihood, and few can afford insurance, versus the suburbs where Bob has a full set of Snap-Ons for hanging picture frames...
Well, you get the idea. The jury of "peers" is also significantly involved.
"If that guy got away with my work trailer I would not be able to feed my family, so I ran out to confront him, knowing it was dangerous, and he charged me with a knife!"...
Totally different thing than, "I shot him in the back as he ran to his car and dropped my toolbox along the way."
The devil is always in the details.
A homeowner went to prison here for shooting someone who held him and his wife captive in their home, and when he somehow got free, got to his firearm, and shot the bad guy as he was running out the front door. The nail in his coffin was the ballistics and coroner agreeing the bad guy was shot from behind, and that the bad guy dropped on the lawn. The jury didn't buy that he was protecting himself and his wife when the bad guy was already running.
Which is why we have juries...