Sure, but you don't have to do it at room temperature, either. There are superconductors at Liquid Nitrogen temps. Certainly most MRI machines use Liquid Helium temperature superconductors. They, of course, cost millions of dollars, but they are still used quite frequently.
IIRC, LN costs about the same as milk (~$3/gallon). If the rate of evaporation wasn't too great, it would just be an on-going charge. Say it was 1 gallon/month, would only cost you about $36/year.
Obviously LN distribution isn't up to par with electricity, but in the "closer" term it certainly would be feasible for "industrial" applications. Like running the Internet backbone routers.
Disk crisis, please clean up!