Probably. Mentioned a couple manufacturers working on greener tires: https://news.ycombinator.com/item?id=42273418

Tyres trade material for grip, so, I think it's unlikely.

Sure. They already do. We use them on bikes.

Bikes have completely different needs and are very light compared to cars. It's apples to oranges.

Both are sufficient modes of transport, one a death machine and the other much broader use.

Totally, bicycles are much more popular worldwide than heavy cars that have little regard for the safety of pedestrians.