You could probably do it with a shell script.
In *nix, you can't tell directly the creation time of a file. But, there are three times you can determine:
1) ctime (change time) - the time when changes were made to the file's inode (ownership, permissions, etc). When the file is first created, ctime is set. If inode properties are changed after creation, ctime changes. For new files, consider ctime equal to creation time. The output of 'ls -lc' shows ctime.
2) atime (access time) - the time the file was last accessed. 'ls -lu' shows atime.
3) mtime (modification time) - the time the file was last modified. 'ls -l' shows mtime.
So, for new files in the folder, your script could compare the output of 'ls -lc' to 'ls -lu', and if atime is greater than ctime (i.e. later than ctime) then you have accessed the file; move it to another folder.
In Linux, you also have the 'stat' command, which shows all three times. So, instead of comparing 'ls -lc' to 'ls -lu', your script could use the output of stat, and if atime is greater than ctime, move the file. You would probably want to use awk to compare the date/time fileds of ctime and atime.