So long as you interact with the world in some way, there will always be darkness.
If you perceive light, there will be an absence of light. If you hear sound, there will be silence. If you feel the world, there will be numbness.
What's interesting though is that you might very well have a world without darkness - after all, there are many colors in the world, so you would still be able to see and distinguish even if everything was illuminated. But if there was only darkness, then you may as well not have that sense since it would color everything the same and thus render it pointless to perceive.
So would darkness exist without a light?
Since darkness with a total absence of light makes the corresponding sense irrelevant, you could not even be aware that there is darkness in the first place. If you have no senses, no way to perceive the world, then how could you know there even is a world, much less darkness in it? You might think you could still exist as a mind in total darkness, but even that's dubious - if you've never seen, heard, or touched anything, what could you even think about?
Now, there is such an idea as the Boltzmann Brain, where your mind forms with pre-existing memories, but that's a whole other thing...