You can. They say it tastes like turkey. But there is probably very limited supply produced for food (if any in the US) and it may be illegal to kill the feral ones depending on where you are.
(In the Middle Ages ‘fancy people’ would serve it with the tail and head re-attached to the roasted carcass.)
In most states it is legal to take an invasive species year round.
Of Course you don’t take someone’s pet