In the grand scheme of things every one dies and the universes freezes from entropic heat death, so yeah...
That said Nihilism isn't necessarily pessimistic. The French Existentialist were basically weak nihilism and Camus was almost celebratory of the lack of meaning of life. "Nothing Means Anything" can be taken as "fuck it burn it all down" OR it can be taken as "there are no unforgivable sins, there is no eternal reward for martyrdom, so why not maximize our fleeting existence for 'happiness'?"
That said Nihilism isn't necessarily pessimistic. The French Existentialist were basically weak nihilism and Camus was almost celebratory of the lack of meaning of life. "Nothing Means Anything" can be taken as "fuck it burn it all down" OR it can be taken as "there are no unforgivable sins, there is no eternal reward for martyrdom, so why not maximize our fleeting existence for 'happiness'?"