Not necessarily. It is entirely plausible that babies born during the Summer months share something in common, and babies born during Winter months share something else. Since astrological signs are 100% correlated with the seasons, one could "guess" with a higher probability than random chance these traits. The causality would obviously not be from stars to babies, but from seasons to babies, but an observational study could end up "proving" that astrology works by identifying these "predictions".