Will the impact of removing all the organisms in a trophic level be different for different trophic levels? Can the organisms of any trophic level be removed without causing any damage to the ecosystem?

Yes, the impact of removing all the organisms in a trophic level will be different for different trophic levels.

1. Primary Producers (Plants) — Removing plants will cause the collapse of the entire food chain as without photosynthesis the energy input into the ecosystem would stop.
2. Primary Consumers (Herbivores) — Removing all herbivores would result in a surge in plant population. Also, carnivores that rely on herbivores as a food source would face a shortage of prey and ultimately die of starvation.
3. Secondary Consumers (Carnivores) — Removing all carnivores would result in a surge in herbivores population leading to overgrazing and potential damage to plant population.

No, the organisms of any trophic level cannot be removed without causing any damage to the ecosystem.