RIM does not make Flash. However, if the technology can be compiled to work within Java, then it would likely be supported by the RIM browser.
You will likely best recognize the SVG format on a handset with icons on a home screen that are able to have animation (see link below for example). This is made available by a company called Plazmic
, and is built-in to the RIM OS.
It appears that they also have a Flash converter thats part of this built-in package that will convert the Flash animations to SVG format.