Conversion of animated cursors (*.ani) to a Portable Networks graphics image (*.png) is probably possible, but only one frame from the animation will be saved. Imagine the *.ani file as a series of pictures (frames) that are saved together to create the animated feel. So from a single *.ani file, you could in theory export several images and save them as *.png files, or any other similar graphics.
Found 2 different conversion types using the same filename extensions.
Conversion ani to png type 1:
Convert from Animated cursor to Portable Network Graphic.
Microsoft Windows software - convert ani to png on Windows
A graphical art and design software
File type (from-> to)
Convert from ani file format
Portable Network Graphic
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned ani to png. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
A 3D CAD translation softwate
Conversion ani to png type 2:
Convert from Generic animation file to Portable Network Graphic.
Multiplatform software - convert ani to png on any platform
A vector graphics editor