Yes.

According to Wikipedia, Family Guy is an American animated comedy that often parodies various movies, television, music, celebrities and social phenomena. Its creator, Seth MacFarlane, once said that his purpose was "to make people laugh, not make people angry." It’s not like Family Guy can just spoof anything. It still has to abide by certain rules and principles, such as not excessively damaging the reputation or interests of the original author, not affecting the market value or normal sales of the original work, not using excessive or unnecessary content of the original work, not violating public order, good customs or social ethics, etc. If Family Guy creates a parody that exceeds the scope of fair use, it may be sued by the original author and bear corresponding legal liability.