As is, TrueZIP 7.7.3 does not support this.
However, the TrueZIP Driver HTTP(S) is only a small wrapper around the Apache HttpsClient which does support this. Furthermore, TrueZIP does provide the necessary interface logic (which is used by other drivers, e.g. the TrueZIP Driver ZIP). So while currently not supported, it should be possible to implement this by enhancing the current implementation of the TrueZIP Driver HTTP(S).