Can I use a Pro Power Kit like on a Doorbell Pro but on a Wired Doorbell(NOT Pro) to use my existing mechanical chime?
Good question, @Miranda0894! The Video Doorbell Wired uses a jumper cable during installation, rather than a pro power kit. The purpose and regulation of power does vary with these components, so it is advised to only use the Jumper Cable with the Video Doorbell Wired, and a Pro Power Kit only with a Video Doorbell Pro model. 
So is there no way to allow the existing mechanical chime to function with the wired doorbell product? @Marley_Ring