If you think about it, a weak_ptr must refer to something other than the object itself. That’s because the object can cease to exist (when there are no more strong pointers to it) and the weak_ptr still has to refer to something that contains the information that the object no longer exists.
With a shared_ptr, that something is the thing that contains the reference count. But with a unique_ptr, there is no reference count, so there is no thing that contains the reference count, thus nothing to continue to exist when the object is gone. So there’s nothing for a weak_ptr to refer to.
There would also be no sane way to use such a weak_ptr. To use it, you’d have to have some way to guarantee that the object wasn’t destroyed while you were using it. That’s easy with a shared_ptr — that’s what a shared_ptr does. But how do you do that with a unique_ptr? You obviously can’t have two of them, and something else must already own the object or it would have been destroyed since your pointer is weak.