It could be. Parkinson’s affects every system in your body. This includes your ability to regulate body temperature.

C/L works on many symptoms. It may be when it wears off, you are unable to control body temperature.

Talk to your Neurologist. He/she should be able to adjust your medication. Keep track of when you take the meds and when they stop working.

Keep yourself warm dress in layers, there's an article in here that address that issue.