No. As you rightly surmise, hallucinated voices, which may indeed have their own distinct personalities, are common in schizophrenia, but visual, let alone tactile, hallucinations are relatively rare in the disease, and nothing like so consistent (and when they do occur, they are not necessarily, or even commonly, i think, visions of people at all). The mentally ill person may think there is another person (or more than one) who is always or often “in their head” talking to them, but they will not believe that they can see and touch them when this happens. Furthermore, generally speaking when people suffer visual and other hallucinations caused by psychosis (especially ones that they mistake for realities), it is not just a matter of seeing or feeling things that are not there, their perception of the stuff that really is there is likely to be highly disordered and confused.
There are non-psychotic conditions, such as Charles Bonnet Syndrome, where people experience visual hallucinations without being mentally confused or having their general perceptual experience become disordered, but in such cases they almost never, more than momentarily, mistake the hallucination for a reality. (Charles Bonnet Syndrome occurs in people with certain forms of partial blindness, and sufferers are not generally mentally ill at all.)
I cannot say for sure that something like the condition that movies like to depict has never happened ever, but, frankly, I very much doubt if it has, and it is certainly not common or typical of any sort of psychosis. It is a Hollywood invention. It is necessary, I suppose, because actual psychotic hallucinatory experience would not only be impossible to accurately reproduce on film, but, even a moderately realistic rendering of the sensory confusion involved would, if it continued for more than a very short time, be very confusing and very unpleasant for the audience (as, indeed, the real thing is for those who actually suffer it).