The functionality of this answer is Chrome version dependant. The most recent comment was this works in v90
Yes. The FileSystem API is disabled in incognito mode. Check out https://jsfiddle.net/w49x9f1a/ when you are and aren’t in incognito mode.
Sample code:
var fs = window.RequestFileSystem || window.webkitRequestFileSystem;
if (!fs) {
console.log("check failed?");
} else {
fs(window.TEMPORARY,
100,
console.log.bind(console, "not in incognito mode"),
console.log.bind(console, "incognito mode"));
}