No it is not possible unless you had installed Priiloader with it.
In the rare case you can try getting into your system and attempt holding reset. If that doesn't work then your probably screwed.
Here are my solutions;
Buy a new Wii (Probably one of the worst solutions, and most risky due to newer wii's being updated on Ver 4.2 by default, along with the System Menu Update which makes you unable to mod your Wii with Homebrew
Repair, or replace the Wii NAND completely by hand, and replace it with a previous NAND on an older wii (Buy the right NAND for your region. NTSC = USA, JAP = Japan, PAL = Europe, KOR = Korea.) Make sure you have the right system update you want. And the right region.
Use SaveMii Dongle, orrr ModChip. Both are bad methods due to them no longer being made. (They go for 100's of dollars now.)
Have Nintendo repair it. Again bad choice.
http://wiibrew.org/wiki/Brick
Don't get discouraged by this. Also I saw a few modded wii's on EBay. I think you may want to check that out. But if saving money is your deal. Thats cool, just buy a Wii NAND off of EBay.