Re: Question
I would have to say yes, but it would have to be far enough away from the barycenter (Not sure if I spelled that right) of the binary where the orbit would be stable. The closer the binary orbit each other, the closer objects could orbit them.
As far as Alpha Centauri goes, perhaps there are even Gas giants orbiting both stars. Remember that Alpha Centauri C is not much larger than a gas giant (a little more massive) and it probably orbits both stars.