Spider-Man and PCs with supernatural abilities and get a pass when it comes to dodging. Everyone else needs to rely on physics and the fact that you are probably doing more in combat than just waiting there to dodge an arrow that's going to be fired as a timed event while also dodging being hit by a sword, diving out of the way of a scorching ray and so on.
There are some scenarios where it could be done, but they're pretty limited to one-on-one combat. Have multiple opponents? Non-ideal conditions? I'd rather have a steel cocoon.