Can a totaled car be fixed?

It depends on why it was totaled. If it's cosmetic damage that totaled the car (like a shallow sideswipe) of course. If it's structural, like frame damage, maybe. If it was in a flood, it's probably not a good idea to fix it since quirky electrical problems will haunt the car forever. If it is repaired it would still carry a totaled title but it can be qualified with the brand 'totaled/reconstructed' on the new title.