Title.

The only thing you kill in a normal speedrun is the radroach and yourself, and if you would skip killing the radroach you would have to complete the game as a baby since the 10 year old character cannot press the required buttons to finish the game.

While the baby run makes for a good laugh one time, it's hardly considered fun nor competitive to walk slowly for an hour through the wasteland.

So this is probably a no.

I think that nothing needs to be added to what Kungkobra said.