All our manipulation of particle trajectories use electromagnetic forces.

If we were to be able to come up with the technology to manipulate the strong force, would that open up possibilities for alternative colliders?

One problem that I can see is that the strong force might be stronger (strength of 1 vs 1/137 of the electromagnetic force) but the acting range of the force is much smaller (diameter of a medium sized nucleus). The electromagnetic force has a far superior range (technically infinite, but the power drops off depending on the distance)

Arm chair physicist here... I would love your knowledge on the general idea.

Could something be built in space?

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.

How much money are you willing to spend? ;-)