Unless the plant is clearly dead/declining, it is difficult to tell based on a picture alone. A thorough description of your conditions is necessary if you want people to diagnose if a plant will survive or not. However, that growth tip is rotting, which is a bad sign. Based on that alone, I'm going to lean to the "no" side, although some quick action might save it. You might want to start by removing the dead tissue, increasing air flow, and not keeping the plant sopping wet.
From my understanding on a different forum, you've had this plant (not a recommended choice for someone who has never grown Nepenthes before) for quite some time now (~1.5 months), and it doesn't appear that it has done anything at all except rot at the growth point. What have you been doing to it? Always, ALWAYS research to make sure that you can properly grow a plant before acquiring it.