You can always make logo with Gimp. You can Export as a SVG but it is just a bitmap in a SVG wrapper. Exporting paths as a simple SVG is from the paths menu.
The OP wants an image that automatically inverts depending on the current app theme. Easy enough to make a pair of logos, one an invert of the other. Gimp can do that, but really a question for a web page designer.
A quick search, https://www.sitepoint.com/using-svg-with-media-queries/
Quote:....Is there an image that adapts to googles html/css, xml ?? ??
The OP wants an image that automatically inverts depending on the current app theme. Easy enough to make a pair of logos, one an invert of the other. Gimp can do that, but really a question for a web page designer.
A quick search, https://www.sitepoint.com/using-svg-with-media-queries/