With computers, yes:
> By applying this techniques [sic] to a standard casino-grade European roulette wheel we demonstrate an expected return of at least 18%, well above the -2.7% expected of a random bet.
Predicting the Outcomes of Roulette, Michael Small, Chi Kong Tse
According to the authors, there are two phases of the roulette spin: the first is rather predictable, as the ball rolls around the rim before it drops, at which point the second, highly chaotic phase starts. The authors say that by determining the state of the table when the ball is thrown and by timing the speed of the ball in its initial rotations, they had a statistical advantage in predicting where the ball would drop in to the second, more chaotic, state. This translated into a statistical edge predicting in which half of the wheel the ball would end up.