No, because "freeing" memory makes sense within a single process and really means "removing the V->P mapping for the page", or more accurately something like "telling the malloc() implementation this pointer (implying a range of virtual memory) is free, which may or may not end up unmapping the V range from the process (or doing things like M_ADV_DONTNEED))".

None of those would impact the same physical page mapped into another process with its own V->P mapping.