Yeah, it could. But you must watch for SOI( http://en.wikipedia.org/wiki/Sphere_of_influence_(astrodynamics)). My advice is hot(or to say, warm) Jupiter model, so you're free to decide the distance. The farther your Earth from Jupiter, the larger SOI of Earth can you have for the place of a moon. BTW the Earth is likely to be tidal locked by Jupiter, and if your Earth is big enough, they may be tidal locked by each other like Duna and Ike.