planet - Theoretically, can a solar system evolve around lagrange points

Yes, provided the star is big enough, the "Jupiter" is big enough and the planet is small enough.

The details are discussed herein: "Is there a ceiling for stable L4 or L5 masses?"

To summarise: The sun needs to be 25 times more massive than the giant planet, and the small planet needs to have negligible mass.

It is worth noting that the minor body could not be said to be dominating its orbit, and so would be considered a dwarf planet by the IAU.