Theoretically, yes. If you set up billions (maybe even trillions) of powered electromagnets in a stable, very precise orbit around the sun and injected particle

Theoretically, yes. If you set up billions (maybe even trillions) of powered electromagnets in a stable, very precise orbit around the sun and injected particles into the loop. However, this is hugely impractical and the sources of error would be huge. Electromagnet misalignments (with the error compounding over stellar distances), stray asteroids and comets, cosmic rays, etc would all effect the particle beam.