Are there adjustable breast implants?

No: The breast implants are not adjustable.

Not any more: They were not a good idea inside most patients and no no longer exist. They used to cause problems.

For reconstruction: For cosmetic augmentation, we generally do not use adjustable implants. In breast reconstruction we will use tissue expanders which are adjustable to find the right size for the patient. Later these are switched to a permanent, non-adjustable implant.

Yes, many varieties: Of various types of post operatively adjustable breast implants that typically will allow size change for a limited period of time usually limited to 6 months.

Not really: What you are referring to is an implant that expands, (expander). One uses this in reconstructive surgery to stretch out the tissue and then slip in a permanent implant later. Some folks treid to use these as implants to be filled up later. The leak rate was too high so few do this anymore. http://www.jjrothmd.com/before-after/category/revisions.

Yes but not common: Other than reconstruction after mastectomy, an adjustable implant is used only in rare cases where the tissue needs to be expanded. It is a saline implant (spectrum from mentor) that can receive injections into a special port. After the final size is achieved, the port is removed.

Yes: Yes, there is an adjustable breast implant. There is an implant with a silicone core and an outer chamber that allows the surgeon to add or remove saline during or after the operation through a remove port.