A direct conversion is impossible.

You're talking about creating vector objects based on a raster image, it is not like repackaging the original pixels in some other format that we might call converting. Someone has to do the intelligent guesswork about what these objects must be, and make decisions on what to keep, what to throw away, how to manage overlapping areas, how to format the resulting objects.

This process is called tracing. You can use e.g. Adobe Illustrator for this task. And then save the result as an SVG graphic. See more here: How to edit artwork in Illustrator using Image Trace