Nintendo officially supports save data management via SD cards. This requires no hacking, but you cannot install someone else’s save file directly unless it was ripped from your own console. However, you can back up your own data this way.
To move a downloaded .bin file to your console, follow these steps: WWE '13 Save Game Files for Wii - GameFAQs - GameSpot wwe 2k13 wii save data
Choose to move the file to an SD card. Note that some Wii games are "copy-protected," which may require homebrew tools like SaveGame Manager GX to bypass. Emulator Management (Dolphin) Nintendo officially supports save data management via SD