Furries have been a thing since the 70s. They're an offshoot of anthropomorphic animals. I would say you'd have to get rid of Walt Disney to fix furries, but anthropomorphic animals were a thing all the way back to Aesop's Fables in ancient Greece. Hell, Disney loved the uncle Remus stories and they had tons of anthropomorphic animals. That's why Song of the South was made, because Disney loved those stories.
If you mean the current crop of sexual degenerate furries, then maybe. But these guys were popping up in 80s and early 90s, before Pokemon was even released. Its really the old guard's fault since they weren't hard enough on these degenerates. Most of the old guard weren't into anthropomorphic animals sexually. Just as a art form.