Can Photoshop Convert To Svg. For more on this see. When should you use SVG files.
Use File Export as and indicate the format SVG. For more on this see. Export images from PSD without Photoshop.
Open the PNG in Photoshop.
Get just the JPG you need. But Adobe Illustrator provides users more controls on image components than Adobe Photoshop. If my memory is correct exporting to SVG is a recent feature of Photoshop have been waiting for it since quite a while. Edit and save file as PSD file.