If the disks are the same (or formatted with logical addressing rather than cylinder/head/sector addressing, and the target disk contains at least as many blocks as the source disk) then you can do this with nothing more than the debug program with any version of DOS from about 3.2 onwards. It does help if you can write 8086 assembler. The trick is to use the BIOS disk I/O routines instead of those provided by the operating system.

Whether this is the best way to do the job is a matter for conjecture. It would be very slow as you would be writing at most one sector per disk rev.