In Season 4 of Stranger Things, we see that
Hopper is alive.
We also see that Eleven left the door to her cabin open, because as she states, she never stopped believing that he could still be around.
However, we also know that with a photograph or something of the sort, or perhaps simply with a strong connection in some cases, Eleven is capable of remotely perceiving people, apparently regardless of distance. This would seem like the natural thing to do if she never believed that he was really gone.
So did Eleven ever try to perceive Hopper? If so, did she succeed, or did it fail for some reason?