Completely viable... now, might it kick your @$$ the first couple of times? Yes, but you'll quickly adapt.

If'n you're really worried, have a Sturmey Archer S3X built up (if you're looking to go fixed), or a Sturmey Archer 3-speed with drum or coaster brake (if you were originally leaning towards single speed). Any reduction in the number of gears is going to simplify your ride.

If nothing else, the challenge of doing some of your commutes with a single gear will be a LOT of fun.