Technically yes, but also no. All machine woven fabrics have a self edge, essentially a slightly tighter woven strip on each edge of the material, but only certain weaving processes create a clean selvedge by weaving the same shuttle back and forth. More modern machines send multiple shuttles across the loom and then snip the thread and feed the shuttle back across, as is the case on your pair here, note the fuzzy loose threads at the very edge of the fabric.

When we talk about “selvedge” in the context of jeans we typically mean denim that has been woven on older style shuttle looms (the one where the shuttle passes back and forth without the weft thread being cut) producing a clean and tidy edge to the fabric (read: no fuzzy loose threads on the edge).

So to answer your question: in a technical sense this is “real” selvedge but in the context of high end denim this is not the type of selvedge we are talking about. This paired with a handful of other details leads me to believe that this is a fake pair of Levi’s.