Currently Edge Animate does not support CSS3 Blur. However it is something that we may integrate into a future release. : )
You can apply a Gaussian blur filter to an SVG image in Adobe Illustrator, but there are a lot of support issues with browsers such as Chrome, IE6 - IE8, and a few other browsers. Here's an article to explain it a little further:
Also, here's an article on best practices for images in Edge Animate (including SVG images)
You can read all about Adobe's efforts to explore the future of Web and Web Standards here:
I hope this helps!