Is tightness associated with cervical spinal stenosis?

Perhaps: If by tightness you mean the muscles of your arms or legs tighten on their own, there may be increased muscle tone, and that can be a sign of myelopathy, a condition associated with cervical canal stenosis.

It can be: Most stenosis in this region is secondary to degenerative changes that occur over time and can lead to restrictions of motion and be associated with muscle tightness.

Yes: Yes, absolutely . Cervical stenosis is a narrowing or "pinching" of the nerve canal in the cervical spine which could certainly be described as a tightness as well.