Hello Alay:
As I read and understand the gati pertaining to a particular bhava manifiest only in that bhava; think what would follow if it were otherwise (!) so, yes, any others aquired in a different bhava would lie dormant.
So in the case that you mention, any human gati acquired in a human bhava will re-surface and develop only once another human bhava is attained. This goes too for other realms (human to deva, deva to human and so on).
One must not confuse this with the case where, say, a human ‘develops’ a deva bhava by thinking and acting like a deva and through the workings of paticca samuppada is inevitably reborn in the deva realm.
See what others have to say,
Metta