NO. You cannot re install Windows without disks. Unless you can manage to run the setup files via virtual machines.
But then you would hit a wall and not be able to run the software anyways.
Best bet, either do a System Restore as far back as you possibly can, or buy a new version of Windows, or find a friend with a copy of the setup files.
Please note your serial number of your current Windows License, as you will need it.