No, there does not appear to be a DELETE function in chkdsk.
https://technet.microsoft.com/en-us/library/bb490876.aspx
Syntax
chkdsk [volume:][[Path] FileName] [/f] [/v] [/r] [/x] [/i] [/c] [/l[:size]]
Parameters
volume : : Specifies the drive letter (followed by a colon), mount point, or volume name.
[ Path ] FileName : Specifies the location and name of a file or set of files that you want chkdsk to check for fragmentation. You can use wildcard characters (that is, * and ?) to specify multiple files.
/f : Fixes errors on the disk. The disk must be locked. If chkdsk cannot lock the drive, a message appears that asks you if you want to check the drive the next time you restart the computer.
/v : Displays the name of each file in every directory as the disk is checked.
/r : Locates bad sectors and recovers readable information. The disk must be locked.
/x : Use with NTFS only. Forces the volume to dismount first, if necessary. All open handles to the drive are invalidated. /x also includes the functionality of /f.
/i : Use with NTFS only. Performs a less vigorous check of index entries, reducing the amount of time needed to run chkdsk.
/c : Use with NTFS only. Skips the checking of cycles within the folder structure, reducing the amount of time needed to run chkdsk.
/l [: size ] : Use with NTFS only. Changes the log file size to the size you type. If you omit the size parameter, /l displays the current size.
/? : Displays help at the command prompt.