Question
Is it possible for a particle to describe a curved path if no force acts on it? Does your answer depend on the frame of reference chosen to view the particle?

Answer

If no force acts on the particle it cannot change its direction. So, it is not possible for a particle to describe a curved path if no force acts on it.
Yes, the answer depends on the frame of reference chosen to view the particle if the frame of reference describes a curved path.

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