Does flutter support animated svg?

Use Flare-Flutter new vector animation tool https://pub.dartlang.org/packages/flare_flutter

Flutter currently doesn't provide any SVG support directly.

You can use https://pub.dartlang.org/packages/flutter_svg for basic SVG support

and https://pub.dartlang.org/packages/lottie_flutter or https://pub.dartlang.org/packages/fluttie for animated vector graphics.

Is there a way to put animated SVG in flutter?

There isn't. Flutter doesn't not support SVG.
There is a third party library for basic support but no animation/SMIL support.

The question is old, but I see its not answered correcly so far.

https://pub.dev/packages/drawing_animation I guess, this is what you want. It Draws the svg with animation.

Rive is a way to go.
"Rive is a real-time interactive design and animation tool"