Snopes seems to declare everything off the leftist agenda as false. Write that the sun is bright, and if it doesn't enhance leftist propaganda in some way, it is false.
Or only partly true, with 1000 words worth of "fact checking" doublethink narrative which expertly spins it into supporting the leftist outlook.
Just personal opinion, you understand.
So yes, a poem can be "false."
Terry, who enjoys being as unfair to the leftists as they are to the rightists, 230RN