No, you shouldn’t compost meat – whether cooked or raw.
The smell of rotting meat or other meat products is likely to attract rats and other animals to your compost heap so best to avoid adding it if possible.
(Some people with completely sealed bins or very active wormeries are happy to add meat, particularly just little scraps.)
You should also avoid adding things that have come into contact with meat (eg, during cooking), even if you could normally compost them. For example, onions are fine to compost but onions cooked underneath a pork or beef roast will have soaked up meat fat and juices so shouldn’t be composted.
Similarly, bones including chicken carcasses should not be composted – not only might they attract rats and the like, they will take years and years to break down.