Could time be a fractal? So, if I dropped a ball, the time it would take to hit the ground would be infinite? Similar to the fact that a coast line is "infinite?"
I have no idea what you could mean by "could time be a fractal". Sets are "fractal", not variables. "Time" is a variable, not a set. In any case, it is fairly easy to calculate exactly when a falling object will hit the ground, even in the more complicated cases including air friction.