If I’m in Scene view and I get too close to an object, I can see through that object even though I’m too far away for that to normally happen.
I am in Editor mode.
Under the camera Icon drop down at the top right of the scene view there are options to adjust the clipping settings, however there is also a bug which may be causing your problem. Try selecting an object in the scene and pressing shift+f, this will snap to the object, but also usually clears this bug.