Not Really
When Dan Slott, the writer of the 2014 "Spider-verse" event was asked about inspiration for his comics he replied -
As Slott tells it, the inspiration for the storyline came from him wanting to tell his version of the plot from the video game Spider-Man: Shattered Dimensions as a comic book. In the video game, an artifact called the Tablet of Order and Chaos caused cross-dimensional trouble for four versions of Spider-Man: Spider-Man, Spider-Man Noir, Ultimate Spider-Man and Spider-Man 2099.
He revealed more information on this Twitter thread.
When asked directly about Spider Man: The Animated Series -

This actually kind of upset John Semper who wanted credit for creating the whole Spider Verse.