How would we know what it is "like" to be something? It's like asking the fish what is water. We've never not experienced it. There is nothing to compare it to.
But maybe the question you are proposing is the following, “Is it possible to identify a sensation that is always present?”.
Maybe this question is coherent? I’m not sure.
Suppose it isn’t possible to identify a sensation that is always present. Then wouldn’t that mean the state of having no sensations is identical to the state of only having sensations that are always present?