I doubt it would be possible. Using a hash function, you could keep track of whether someone has the cards they claimed to have before revealing them (similar in design to provably fair Bitcoin gambling sites), but I doubt there's a fair, trustless way to deal a deck of cards electronically.
Sheldon Adelson would agree with you - he's trying to get everyone to forget online gaming for the real thing. I'd imagine it's technically possible, given the amount of money/brans in the online gaming space now. Legally, that's another issue...
Fair online gambling is absolutely possible, I'm just not sure about poker between multiple people.