Yes, using KDE Connect, which has had this functionality for ages. Though you’re best off using the F-Droid version since Google has severely limited the Play Store version using SAF. Seems like they’ve they’ve given Microsoft a pass here even though they’ve blocked KDE Connect from doing the exact same thing for years.
A normal copy consists of a program reading from one file and writing to another. There is no way for the filesystem to do a reflink in that case, it just sees that the program is reading and writing stuff. In order to do a reflink, the program must tell the filesystem what data should be “copied” to where using FICLONE or FICLONERANGE. Though some programs will do that by default if possible nowadays when copying files or when moving files between different subvolumes on the same partition, including the Coreutils cp, mv and install commands and some GUI file managers.