As long as we are not trying to talk about divinity, that is. Of course then people like to throw out nebulous terms like absolute good without properly defining what good actually means.
Nietzsche says no, and that's really the point of his arguments: Modern society has created a worldview that cannot stand absolutes but still clings to them. It is the sudden realization of the lack of absolutes by someone who clung to fake absolutes that causes nihilism, or the belief in nothing.
But the lack of absolutes to me does not mean a lack of God or religion: I think a living, dynamic deity does not fit the definition of absolute ideologies as Nietzsche would explain it, which is to say metaphysical constructs such as Platonic Forms.
I would say that Absolute in this sense is more in reference to the Socratic notion of absolute ideals that Plato would evolve into the forms. Essentially an absolute is a definition of a concept in and of itself with no use of examples that stands completely on its own. It's difficult to describe without looking at an actual example, so I would offer up the Platonic dialogue "Euthyphro" to show what I mean - here Socrates is trying to find what it means to be absolutely pious.
Take whatever you think is an absolute and ask yourself "Are you absolutely sure it is, always has been, and always will be?" That vodka wasn't absolute before it was bottled and it certainly won't be when I'm done with it. Personally I think Nihilism has a bad rap. Think of it more of a egoless view of existence.