No, Linux does not have the "Date Added" feature.
In MacOS, "Date Added" is the timestamp of when a file was added to a directory. Linux simply doesn't have that information.
Linux (eg. ext4) has ctime (when file permissions or ownership was changed), mtime (when the actual file contents were changed), atime (file last opened), and crtime (birthdate of the file).
Moving a file to a different directory in Linux does not have a recorded time. (If the file is moved to a different file system altogether, that will update the ctime. But moving across directories mounted on the same file system doesn't update ctime. And primarily, ctime gets updated for other things instead.)
"Date Added" is a MacOS unique feature; it is not the "creation time". It is the "file moved" time.
Sorry but you're out of luck on Linux.
Too bad, it is much more useful feature than "creation time" aka "birthdate".