No. ------------------. Klonopin (clonazepam) is a benzodiazepine class sedative/hypnotic, anticonvulsant, and anxiolytic. It is not technically or legally a narcotic..However clonazepam can be abused and is a schedule IV controlled substance under American, Australia, Canadian, and International law.It is a class C drug in The United Kingdom.enzos (Klonopin) and narcotics do not mix well. In even small doses the mixture can cause respiratory arrest. Some pain management and surgical procedure patients are given … a prescription for both, but they are told to take the Benzo for sleep and the narcotic for daytime pain.