Actually, photonic propulsion - light sail or solar sail - is a tested and possibly practical system for small unmanned spacecraft.
It's just that the effects are orders of magnitude smaller than the OP was claiming.
At the same distance from the sun as the Earth, a light sail provides about eight newtons force per square kilometer of area.
Very little in absolute terms, but zero fuel needed & that force is continuously available, which adds up in velocity terms over time.
Various tests have been done in space over the last ten years or so to verify the effect and the amount of force possible.