No. Some, like the apostles who drank of that cup that evening, are participants in the new covenant.
إِنَّ بَعْضَهُمْ ،‏ كَٱلرُّسُلِ ٱلَّذِينَ شَرِبُوا مِنَ ٱلْكَأْسِ فِي تِلْكَ ٱللَّيْلَةِ ،‏ هُمْ طَرَفٌ فِي هذَا ٱلْعَهْدِ .‏