No. The Mockingjay is a mix between a mockingbird and a bluejay, and it was used to find and record secret messages from district 13 and play them back to the capital they were made during the war with district 13. I can't remember anything about the Tracker-Jackets.
The Mockingjay or the Tracker-Jacker that was in was in the Hunger Games is not real. It is a species of genetically-altered wasps, conceived and created in the labs in the capitol. The wasps are genetically encoded to attack anything that disturbs their nest.