Enhancement/BADI behavior in PAT files

We have a created a custom Namespace (/AVINDAS/) in our environment and developed a list of objects including a BADI in this namespace. We extracted the PAT file for entire development package. For rest of the PAT files, we developed all the objects were read only. However, we would like the BADI methods to be editable in other environments. Is this possible? That is BADI deployed through PAT file (Custom namespace) have the methods as editable in other environments?