In NYS is it illegal to parody an animated film character image?

The film was released in 1968. The character is already an allegorical representation of a certain type of people in the world.The addition of certain items to the existing image creates a funny expression about a (now relatively) current affair, as part of a larger design. No financial gain. No desire to be arrested for wearing the original t-shirt on which the design would appear (or otherwise using it) on the premise that I was breaking the law.